Nature of the Soft Gamma Repeaters and Anomalous X-ray Pulsars

I summarize recent developments in the magnetar model of the Soft Gamma Repeaters and Anomalous X-ray Pulsars, give a critical inventory of alternative models for the AXPs, and outline the improved diagnostics expected from present observational efforts.Comment: Invited review, Soft Gamma Repeaters: The Rome 2000 Mini-workshop, eds. M. Feroci, S. Mereghetti, & L. Stell

Impulsive Electromagnetic Emission near a Black Hole

The electromagnetic signature of a point explosion near a Kerr black hole (BH) is evaluated. The first repetitions produced by gravitational lensing are not periodic in time; periodicity emerges only as the result of multiple circuits of the prograde and retrograde light rings and is accompanied by exponential dimming. Gravitational focusing creates a sequence of concentrated caustic features and biases the detection of a repeating source toward alignment of the BH spin with the plane of the sky. We consider the polarization pattern in the case of emission by the Lorentz upboosting and reflection of a magnetic field near the explosion site. Then the polarized fraction of the detected pulse approaches unity, and rays propagating near the equatorial plane maintain a consistent polarization direction. Near a slowly accreting supermassive BH (SMBH), additional repetitions are caused by reflection off annular fragments of an orbiting disk that has passed through an ionization instability. These results are applied to the repeating fast radio burst (FRB) source 121102, giving a concrete and predictive example of how FRB detectability may be biased by lensing. A gravitational lensing delay of 10-30 s, and reflection delay up to $\sim 10^4$ s, are found for emission near the innermost stable circular orbit of a $3\times 10^5\,M_\odot$ SMBH; these effects combine to produce interesting correlations between delay time and burst fluence. A similar repetitive pulse envelope could be seen in the gravitational wave signal produced by a collision between compact stars near a SMBH.Comment: Published in the Astrophysical Journal, 32 pages, 17 figure

Tiny Electromagnetic Explosions

This paper considers electromagnetic transients of a modest total energy (${\cal E} \gtrsim 10^{40}$ erg) and small initial size (${\cal R} \gtrsim 10^{-1}$ cm). They could be produced during collisions between relativistic field structures (e.g. macroscopic magnetic dipoles) that formed around, or before, cosmic electroweak symmetry breaking. The outflowing energy has a dominant electromagnetic component; a subdominant thermal component (temperature $> 1$ GeV) supplies inertia in the form of residual $e^\pm$. A thin shell forms that expands subluminally, attaining a Lorentz factor $\sim 10^{6-7}$ before decelerating. Drag is supplied by the reflection of an ambient magnetic field, and by deflection of ambient free electrons. Emission of low-frequency (GHz-THz) superluminal waves takes place through three channels: i) reflection of the ambient magnetic field; ii) direct linear conversion of the embedded magnetic field into a superluminal mode; and iii) excitation outside the shell by corrugation of its surface. The escaping electromagnetic pulse is very narrow (a few wavelengths) and so the width of the detected transient is dominated by propagation effects. GHz radio transients are emitted from i) the dark matter halos of galaxies and ii) the near-horizon regions of supermassive black holes that formed by direct gas collapse and now accrete slowly. Brighter and much narrower 0.01-1 THz pulses are predicted at a rate at least comparable to fast radio bursts, experiencing weaker scattering and absorption. The same explosions also accelerate protons up to $\sim 10^{19}$ eV and heavier nuclei up to $10^{20-21}$ eV.Comment: 25 pages, 16 figures, Astrophysical Journal, in pres

Dissipation in Relativistic Outflows: A Multisource Overview

Relativistically expanding sources of X-rays and gamma-rays cover an enormous range of (central) compactness and Lorentz factor. The underlying physics is discussed, with an emphasis on how the dominant dissipative mode and the emergent spectrum depend on these parameters. Photons advected outward from high optical depth are a potentially important source of Compton seeds. Their characteristic energy is bounded below by ~1 MeV in pair-loaded outflows of relatively low compactness, and remains near ~1 MeV at very high compactness and low matter loading. This is compared with the characteristic energy of O(1) MeV observed in the rest frame spectra of many sources, including gamma-ray bursts, OSSE jet sources, MeV Blazars, and the intense initial 0.1 s pulse of the March 5 event. Additional topics discussed include the feedback of pair creation on electron heating and the formation of non-thermal spectra, their effectiveness at shielding the dissipative zone from ambient photons, direct Compton damping of irregularities in the outflow, the relative importance of various soft photon sources, and the softening of the emergent spectrum that results from heavy matter loading. The implications of this work for X-ray and optical afterglow from GRB's are briefly considered. Direct synchrotron emission behind the forward shock is inhibited by the extremely low energy density of the ambient magnetic field. Mildly relativistic ejecta off axis from the main gamma-ray emitting cone become optically thin to scattering on a timescale of ~1 day (E/10^{52} erg)^{1/2}, and can be a direct source of afterglow radiation.Comment: 23 pages, August 1997, invited review, Cracow Conference on Relativistic Jets in AGN, eds. M. Ostrowski, M. Sikora, G. Madejski, and M. Begelman, Jagellonian University Press, p. 63 [cited in accompanying astro-ph preprint, but not available on NASA ADS

Giant Primeval Magnetic Dipoles

Macroscopic magnetic dipoles are considered as cosmic dark matter. Permanent magnetism in relativistic field structures can involve some form of superconductivity, one example being current-carrying string loops (`springs') with vanishing net tension. We derive the cross section for free classical dipoles to collide, finding it depends weakly on orientation when mutual precession is rapid. The collision rate of `spring' loops with tension ${\cal T} \sim 10^{-8}c^4/G$ in galactic halos approaches the measured rate of fast radio bursts (FRBs) if the loops comprise most of the dark matter. A large superconducting dipole (LSD) with mass $\sim 10^{20}$ g and size $\sim 1$ mm will form a $\sim 100$ km magnetosphere moving through interstellar plasma. Although hydromagnetic drag is generally weak, it is strong enough to capture some LSDs into long-lived rings orbiting supermassive black holes (SMBHs) that form by the direct collapse of massive gas clouds. Repeated collisions near young SMBHs could dominate the global collision rate, thereby broadening the dipole mass spectrum. Colliding LSDs produce tiny, hot electromagnetic explosions. The accompanying paper shows that these explosions couple effectively to propagating low-frequency electromagnetic modes, with output peaking at 0.01-1 THz. We describe several constraints on, and predictions of, LSDs as cosmic dark matter. The shock formed by an infalling LSD triggers self-sustained thermonuclear burning in a C/O (ONeMg) white dwarf (WD) of mass $\gtrsim 1\,M_\odot$ ($1.3\,M_\odot$). The spark is generally located well off the center of the WD. The rate of LSD-induced explosions matches the observed rate of Type Ia supernovae.Comment: 23 pages, 19 figures, Astrophysical Journal in pres

Spin and Magnetism of White Dwarfs

The magnetism and rotation of white dwarf (WD) stars are investigated in relation to a hydromagnetic dynamo operating in the progenitor during shell burning phases. The downward pumping of angular momentum in the convective envelope, in combination with the absorption of a planet or tidal spin-up from a binary companion, can trigger strong dynamo action near the core-envelope boundary. Several arguments point to the outer core as the source for a magnetic field in the WD remnant: the outer third of a $\sim 0.55\,M_\odot$ WD is processed during the shell burning phase(s) of the progenitor; the escape of magnetic helicity through the envelope mediates the growth of (compensating) helicity in the core, as is needed to maintain a stable magnetic field in the remnant; and the intense radiation flux at the core boundary facilitates magnetic buoyancy within a relatively thick tachocline layer. The helicity flux into the growing core is driven by a dynamical imbalance with a latitude-dependent rotational stress. The magnetic field deposited in an isolated massive WD is concentrated in an outer shell of mass $\lesssim 0.1\,M_\odot$ and can reach $\sim 10\,$MG. A buried toroidal field experiences moderate ohmic decay above an age $\sim 0.3$ Gyr, which may lead to growth or decay of the external magnetic field. The final WD spin period is related to a critical spin rate below which magnetic activity shuts off, and core and envelope decouple; it generally sits in the range of hours to days. WD periods ranging up to a year are possible if the envelope re-expands following a late thermal pulse.Comment: 23 pages, 27 figures, accepted to the ApJ, typos and figures correcte

Hot Electromagnetic Outflows. III. Displaced Fireball in a Strong Magnetic Field

The evolution of a dilute electron-positron fireball is calculated in the regime of strong magnetization and very high compactness (l ~10^3-10^8). Heating is applied at a low effective temperature (< 25 keV), and the fireball is allowed to expand, so that the formation of a black-body spectral distribution is inhibited by pair annihilation. The diffusion equation for Compton scattering is coupled to a single-temperature pair gas and an exact (trans-relativistic) cyclo-synchrotron photon source. We find that the photon spectrum develops a quasi-thermal peak, with a power-law slope below it that is characteristic of gamma-ray bursts. The formation of a thermal high-frequency spectrum is checked using the full kinetic equations at l ~ 10^3. These results have several implications for the central engine of GRBs, and the mechanism of energy transport. 1. Baryon rest mass carries less than ~ 10^{-5} of the energy flux at jet breakout inside ~ 10^{12} cm from the engine, with most carried by the magnetic field. 2. This degree of baryon purity points to the presence of an event horizon in the engine, and neutrons play a negligible role in the prompt emission mechanism. 3. X-ray flashes are emitted by outflows carrying enough baryons that the photosphere is pair-depleted, which we show results in faster thermalization. 4. The relation between observed peak frequency and burst luminosity is bounded below by the observed Amati et al. relation if jet Lorentz factor ~ 1/(opening angle) at breakout. 5. Stellar models are used to demonstrate an inconsistency between the highest observed GRB energies, and a hydrodynamic nozzle: magnetic collimation is required. 6. The magnetized pair gas is dilute enough that high-frequency Alfven waves may become charge starved. Finally, we suggest that limitations on magnetic reconnection from plasma collisionality have been overestimated.Comment: 29 pages, 34 figures, submitted to the Ap

Hot Electromagnetic Outflows I: Acceleration and Spectra

The theory of cold, relativistic, magnetohydrodynamic outflows is generalized by the inclusion of an intense radiation source. In some contexts, such the breakout of a gamma-ray burst jet from a star, the outflow is heated to a high temperature at a large optical depth. Eventually it becomes transparent and is pushed to a higher Lorentz factor by a combination of the Lorentz force and radiation pressure. We obtain its profile, both inside and outside the fast magnetosonic critical point, when the poloidal magnetic field is radial and monopolar. Most of the energy flux is carried by the radiation field and the toroidal magnetic field that is wound up close to the rapidly rotating engine. Although the entrained matter carries little energy, it couples the radiation field to the magnetic field. Then the fast critical point is pushed inward from infinity and, above a critical radiation intensity, the outflow is accelerated mainly by radiation pressure. We identify a distinct observational signature of this hybrid outflow: a hardening of the radiation spectrum above the peak of the seed photon distribution, driven by bulk Compton scattering. The non-thermal spectrum -- obtained by a Monte Carlo method -- is most extended when the Lorentz force dominates the acceleration, and the seed photon beam is wider than the Lorentz cone of the MHD fluid. This effect is a generic feature of hot, magnetized outflows interacting with slower relativistic material. It may explain why some GRB spectra appear to peak at photon energies above the original Amati et al. scaling. A companion paper addresses the case of jet breakout, where diverging magnetic flux surfaces yield strong MHD acceleration over a wider range of Lorentz factor.Comment: To be published in the Astrophysical Journa

Rotation and Magnetism of Massive Stellar Cores

The internal rotation and magnetism of evolved massive stars are considered in response to i) the inward pumping of angular momentum through deep and slowly rotating convective layers; and ii) the winding up of a helical magnetic field in radiative layers. Field winding can transport angular momentum effectively even when the toroidal field is limited by kinking. Magnetic helicity is pumped into a growing radiative layer from an adjacent convective envelope (or core). The receding convective envelope that forms during the early accretion phase of a massive star is the dominant source of helicity in its core, yielding a $\sim 10^{13}$ G polar magnetic field in a collapsed neutron star (NS) remnant. Using MESA models of various masses, we find that the NS rotation varies significantly, from $P_{\rm NS} \sim 0.1-1$ s in a 13$\,M_\odot$ model to $P_{\rm NS} \sim 2$ ms in a $25\,M_\odot$ model with an extended core. Stronger inward pumping of angular momentum is found in more massive stars, due to the growing thickness of the convective shells that form during the later stages of thermonuclear burning. On the other hand, stars that lose enough mass to form blue supergiants in isolation end up as very slow rotators. The tidal spin-up of a 40$\,M_\odot$ star by a massive binary companion is found to dramatically increase the spin of the remnant black hole, allowing a rotationally supported torus to form during the collapse. The implications for post-collapse decay or amplification of the magnetic field are also considered.Comment: 21 pages, 23 figures, minor revisions including expanded comparison with previous work, Astrophysical Journal, in pres

Constrained Evolution of a Radially Magnetized Protoplanetary Disk: Implications for Planetary Migration

We consider the inner $\sim$ AU of a protoplanetary disk (PPD), at a stage where angular momentum transport is driven by the mixing of a radial magnetic field into the disk from a T-Tauri wind. Because the radial profile of the imposed magnetic field is well constrained, a deterministic calculation of the disk mass flow becomes possible. The vertical disk profiles obtained in Paper I imply a stronger magnetization in the inner disk, faster accretion, and a secular depletion of the disk material. Inward transport of solids allows the disk to maintain a broad optical absorption layer even when the grain abundance becomes too small to suppress its ionization. Thus a PPD may show a strong middle-to-near infrared spectral excess even while its mass profile departs radically from the minimum-mass solar nebula. The disk surface density is buffered at $\sim 30$ g cm$^{-2}$: below this, X-rays trigger strong enough magnetorotational turbulence at the midplane to loft mm-cm sized particles high in the disk, followed by catastrophic fragmentation. A sharp density gradient bounds the inner depleted disk, and propagates outward to $\sim 1$-2 AU over a few Myr. Earth-mass planets migrate through the inner disk over a similar timescale, whereas the migration of Jupiters is limited by the supply of gas. Gas-mediated migration must stall outside 0.04 AU, where silicates are sublimated and the disk shifts to a much lower column. A transition disk emerges when the dust/gas ratio in the MRI-active layer falls below $X_d \sim 10^{-6}(a_d/\mu{\rm m})$, where $a_d$ is the grain size.Comment: 22 pp, 18 figures, Astrophysical Journal, in pres