Can gravitational collapse sustain singularity-free trapped surfaces?
| dc.creator | Mbonye, Manasse R. | |
| dc.creator | Kazanas, Demosthenes | |
| dc.date | 2007-08-17 | |
| dc.date.accessioned | 2026-07-07T11:18:41Z | |
| dc.date.available | 2026-07-07T11:18:41Z | |
| dc.description | In singularity generating spacetimes both the out-going and in-going expansions of null geodesic congruences $θ^{+}$ and $θ^{-}$ should become increasingly negative without bound, inside the horizon. This behavior leads to geodetic incompleteness which in turn predicts the existence of a singularity. In this work we inquire on whether, in gravitational collapse, spacetime can sustain singularity-free trapped surfaces, in the sense that such a spacetime remains geodetically complete. As a test case, we consider a well known solution of the Einstien Field Equations which is Schwarzschild-like at large distances and consists of a fluid with a $p=-ρ$ equation of state near $r=0$. By following both the expansion parameters $θ^{+}$ and $θ^{-}$ across the horizon and into the black hole we find that both $θ^{+}$ and $θ^{+}θ^{-}$ have turning points inside the trapped region. Further, we find that deep inside the black hole there is a region $0\leq r<r_{0}$ (that includes the black hole center) which is not trapped. Thus the trapped region is bounded both from outside and inside. The spacetime is geodetically complete, a result which violates a condition for singularity formation. It is inferred that in general if gravitational collapse were to proceed with a $p=-ρ$ fluid formation, the resulting black hole may be singularity-free. | |
| dc.description | 17 pages, 3 figures, accepted for publication in International Journal of Modern Physics D | |
| dc.identifier | https://arxiv.org/abs/0708.2360 | |
| dc.identifier | http://arxiv.org/abs/0708.2360 | |
| dc.identifier | Int.J.Mod.Phys.D17:165-177,2008 | |
| dc.identifier | doi:10.1142/S0218271808011924 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193428 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Can gravitational collapse sustain singularity-free trapped surfaces? | |
| dc.type | text |