122,420 research outputs found
Black Extended Objects, Naked Singularities and P-Branes
We treat the horizons of charged, dilaton black extended objects as quantum
mechanical objects. We show that the S matrix for such an object can be written
in terms of a p-brane-like action. The requirements of unitarity of the S
matrix and positivity of the p-brane tension equivalent severely restrict the
number of space-time dimensions and the allowed values of the dilaton parameter
a. Generally, black objects transform at the extremal limit into p-branes.Comment: 9 pages, REVTE
Can Naked Singularities Yield Gamma Ray Bursts?
Gamma-ray bursts are believed to be the most luminous objects in the
Universe. There has been some suggestion that these arise from quantum
processes around naked singularities. The main problem with this suggestion is
that all known examples of naked singularities are massless and hence there is
effectively no source of energy. It is argued that a globally naked singularity
coupled with quantum processes operating within a distance of the order of
Planck length of the singularity will probably yield energy burst of the order
of M_pc^2\approx2\times 10^{16} ergs, where M_p is the Planck mass.Comment: 4 pages, TeX, no figure
Gravitational Lensing by Rotating Naked Singularities
We model massive compact objects in galactic nuclei as stationary,
axially-symmetric naked singularities in the Einstein-massless scalar field
theory and study the resulting gravitational lensing. In the weak deflection
limit we study analytically the position of the two weak field images, the
corresponding signed and absolute magnifications as well as the centroid up to
post-Newtonian order. We show that there are a static post-Newtonian
corrections to the signed magnification and their sum as well as to the
critical curves, which are function of the scalar charge. The shift of the
critical curves as a function of the lens angular momentum is found, and it is
shown that they decrease slightingly for the weakly naked and vastly for the
strongly naked singularities with the increase of the scalar charge. The
point-like caustics drift away from the optical axis and do not depend on the
scalar charge. In the strong deflection limit approximation we compute
numerically the position of the relativistic images and their separability for
weakly naked singularities. All of the lensing quantities are compared to
particular cases as Schwarzschild and Kerr black holes as well as
Janis--Newman--Winicour naked singularities.Comment: 35 pages, 30 figure
Naked Singularity Explosion in Higher Dimensions
Motivated by the recent argument that in the TeV-scale gravity
trans-Planckian domains of spacetime as effective naked singularities would be
generated by high-energy particle (and black-hole) collisions, we investigate
the quantum particle creation by naked-singularity formation in general
dimensions. Background spacetime is simply modeled by the self-similar Vaidya
solution, describing the spherical collapse of a null dust fluid. In a generic
case the emission power is found to be proportional to the quadratic inverse of
the remaining time to a Cauchy horizon, as known in four dimensions. On the
other hand, the power is proportional to the quartic inverse for a critical
case in which the Cauchy horizon is `degenerate'. According to these results,
we argue that the backreaction of the particle creation to gravity will be
important in particle collisions, in contrast to the gravitational collapse of
massive stellar objects, since the bulk of energy is carried away by the
quantum radiation even if a quantum gravitational effect cutoff the radiation
just before the appearance of naked singularity.Comment: 19 pages, 2 figures; v2: typos fixe
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