Stability and evolution of super-massive stars (SMS)

Highly condensed gaseous objects with masses larger than 5x10^4 M_sun are called super-massive stars. In the quasistationary contraction phase, the hydrostatic equilibrium is determined by radiation pressure and gravitation. The global structure is that of an n=3 polytrope at the stability limit. Small relativistic corrections for example can initiate a free fall collapse due to the 'post Newtonian' instability. Since the outcome of the final collapse -A super-massive black hole or hypernova- depends sensitively on the structure and the size of the object, when the instability sets in, it is important to investigate in more detail the contraction phase of the SMS. If the gaseous object is embedded in a dense stellar system, the central star cluster, the interaction and coupling of both components due to dynamical friction changes the energy balance and evolution of the SMS dramatically. Dynamical friction between stars and gas, which can be estimated semi-analytically (see Just et al. 1986), has three different effects on the two-component system. We discuss in which evolutionary stages and parameter range these interaction processes are relevant and how they can influence the stability and evolution of the SMS.Comment: 6 pages, 1 figure, needs eas.cls (included). EAS Publ. Series, Vol. 10 EDP, Paris in pres

The loss-cone problem in dense nuclei

We address the classical problem of star accretion onto a supermassive central gaseous object in a galactic nucleus. The resulting supermassive central gas-star object is assumed to be located at the centre of a dense stellar system for which we use a simplified model consisting of a Plummer model with an embedded density cusp using stellar point masses. From the number of stars belonging to the loss-cone, which plunge onto the central object on elongated orbits from outside, we estimate the accretion rate taking into account a possible anisotropy of the surrounding stellar distribution. The total heating rate in the supermassive star due to the loss-cone stars plunging onto it is estimated. This semi-analytical study, revisiting and expanding classical paper's work, is a starting point of future work on a more detailed study of early evolutionary phases of galactic nuclei. It merits closer examination, because it is one of the key features for the link between cosmology and galaxy formation.Comment: 9 pages, 6 figures, MNRAS in pres

Colliding red giants in galactic nuclei: Shocks, jets, impact on the ISM, X- and gamma-rays, neutrinos, fusion ignition and afterglow

In galactic nuclei, stellar densities are so high that stars can physically collide with each other. In this work we focus on the collision of red giants and in particular on the formation of non-thermal processes through collisions and their properties. We analytically address these points by evaluating head-on collisions but also take into account scenarios with a deviation from the radial orbit, which we treat in a perturbative fashion. The collisions produce internal shocks with supersonic Mach numbers. Almost immediately, jet-like structures with important Lorentz factors form. The debris from the collision produces another shock wave which, when interacting with the interstellar medium of a galactic nucleus, leads to particle acceleration. We estimate the background flux in X- and gamma rays created by the background of these collisions by deriving the spectral index within a radius of 100 Mpc and find that they are high. Additionally, we make an estimate of the neutrino production and find about $10^{11}$ neutrinos per square meter per second for a collision at 100 Mpc from Earth. Also, we derive that there is a non-negligible chance to ignite fusion during the collision, due to the squeezing of the material. We investigate the possibility that the degenerate cores collide with each other, leading to a high afterglow luminosity, and find that it is non-negligible, although this should be addressed with dedicated numerical simulations. Colliding red giants in galactic nuclei trigger a plethora of high-energy phenomena, and have a particular gravitational wave emission associated, as shown by us, so that their detection will allow us to rule out alternatives.Comment: 30 pages, no figures, submitted. Abstract abridge

Transient stellar collisions as multimessenger probes: Non-thermal-, gravitational wave emission and the cosmic ladder argument

In dense stellar clusters like galactic nuclei and globular clusters stellar densities are so high that stars might physically collide with each other. In galactic nuclei the energy and power output can be close, and even exceed, to those from supernovae events. We address the event rate and the electromagnetic characteristics of collisions of main sequence stars (MS) and red giants (RG). We also investigate the case in which the cores form a binary and emit gravitational waves. In the case of RGs this is particularly interesting because the cores are degenerate. We find that MS event rate can be as high as tens per year, and that of RGs one order of magnitude larger. The collisions are powerful enough to mimic supernovae- or tidal disruptions events. We find Zwicky Transient Facility observational data which seem to exhibit the features we describe. The cores embedded in the gaseous debris experience a friction force which has an impact on the chirping mass of the gravitational wave. As a consequence, the two small cores in principle mimic two supermassive black holes merging. However, their evolution in frequency along with the precedent electromagnetic burst and the ulterior afterglow are efficient tools to reveal the impostors. In the particular case of RGs, we derive the properties of the degenerate He cores and their H-burning shells to analyse the formation of the binaries. The merger is such that it can be misclassified with SN Ia events. Because the masses and densities of the cores are so dissimilar in values depending on their evolutionary stage, the argument about standard candles and cosmic ladder should be re-evaluated.Comment: 32 pages. Accepted for publication ApJ, minor change

Underluminous tidal disruptions

We have evidence of X-ray flares in several galaxies consistent with a a star being tidally disrupted by a supermassive black hole (MBH). If the star starts on a nearly parabolic orbit relative to the MBH, one can derive that the fallback rate follows a $t^{-5/3}$ decay in the bolometric luminosity. We have modified the standard version of the smoothed-particle hydrodynamics (SPH) code {\sc Gadget} to include a relativistic treatment of the gravitational forces. We include non-spinning post-Newtonian corrections to incorpore the periapsis shift and the spin-orbit coupling up to next-to-lowest order. We run a set of simulations for different penetration factors in both the Newtonian- and the relativistic regime. We find that tidal disruptions around MBHs in the relativistic cases are underluminous for values starting at $\beta \gtrapprox 2.25$; i.e. the fallback curves produced in the relativistic cases are progressively lower compared to the Newtonian simulations as the penetration parameter increases. This is due to the fact that, contrary to the Newtonian cases, we find that all relativistic counterparts feature a survival core for penetration factors going to values as high as $12.05$. We derive a relativistic calculation which shows that geodesics of the elements in the star converge as compared to the Newtonian case, allowing for a core to survive the tidal disruption. A survival core should consistently emerge from any TDE with $\beta \gtrapprox 2.25$. The higher the value, the lower the colour temperatures than derived from standard accretion models.Comment: 17 pages, submitte

Super-massive stars: Radiative transfer

The concept of central super-massive stars (${\cal M} \ge 5 \times 10^4 M_{\odot}$, where ${\cal M}$ is the mass of the super-massive star) embedded in dense stellar systems was suggested as a possible explanation for high- energy emissions phenomena occurring in active galactic nuclei and quasars (Vilkoviski 1976, Hara 1978), such as X-ray emissions (Bahcall and Ostriker, 1975). SMSs and super-massive black holes are two possibilities to explain the nature of super-massive central objects, and super-massive stars may be an intermediate step towards the formation of super-massive black holes (Rees 1984). Therefore it is important to study such a dense gas-star system in detail. We address here the implementation of radiative transfer in a model which was presented in former work (Amaro-Seoane and Spurzem 2001, Amaro-Seoane et al. 2002). In this sense, we extend here and improve the work done by Langbein et al. (1990) by describing the radiative transfer in super-massive stars using previous work on this subject (Castor 1972).Comment: 2 pages, to appear in "Galatic Dynamics", eds. C. Boily, P. Patsis, C. Theis, S. Portegies Zwart, R. Spurzem, EDP Sciences 2003 (JENAM 2002 Conference in Porto, September 2-7, Workshop "Galactic Dynamics"). Needs eas.cls (also included

Gravitational waves from eccentric intermediate-mass black hole binaries

If binary intermediate-mass black holes (IMBHs; with masses between 100 and 10^4 \Msun) form in dense stellar clusters, their inspiral will be detectable with the planned Laser Interferometer Space Antenna (LISA) out to several Gpc. Here we present a study of the dynamical evolution of such binaries using a combination of direct $N$-body techniques (when the binaries are well separated) and three-body relativistic scattering experiments (when the binaries are tight enough that interactions with stars occur one at a time). We find that for reasonable IMBH masses there is only a mild effect on the structure of the surrounding cluster even though the binary binding energy can exceed the binding energy of the cluster. We demonstrate that, contrary to standard assumptions, the eccentricity in the LISA band can be in {\em some} cases as large as $\sim 0.2 - 0.3$ and that it induces a measurable phase difference from circular binaries in the last year before merger. We also show that, even though energy input from the binary decreases the density of the core and slows down interactions, the total time to coalescence is short enough (typically less than a hundred million years) that such mergers will be unique snapshots of clustered star formation.Comment: Accepted for publication by ApJ Lett