Non-occurrence of trapped surfaces and Black Holes in spherical gravitational collapse: An abridged version

dc.creatorMitra, Abhas
dc.date1999-10-22
dc.date2000-12-05
dc.date.accessioned2026-07-07T02:33:59Z
dc.date.available2026-07-07T02:33:59Z
dc.descriptionWe have shown in that for arbitrary EOS and radiation transport properties, (even) the idealized spherical gravitational collapse DOES NOT lead to the formation of trapped surfaces: 2GM(r,t)/R <=1. Hence all singularity theorems of Hawking, Penrose and Geroch, built on the assumption of formation of trapped surfaces, get invalidated! And this inequality, demands that M->0 if indeed R->0. We have shown that the final state corresponds to a zero mass BH state and, this state would occur only after infinite proper time indicating that GR is indeed the only naturally singularity free theory for isolated bodies (as was cherished by Einstein). This M->0 state would materialize after the body radiates its entire initial mass-energy. Thus there is no event horizon at any finite R or M, and, therefore all the great theoretical confusions like whether there could be (i) White Holes, (ii) whether t (R) becomes spacelike (timelike) inside the EH (iii) Loss of information in gravitational collapse, and (iv) validity of cosmic censorship conjecture get resolved. At any finite proper time, the collapsed object would be either static (z<2) or may appear static (R almost frozen) though, in extreme cases, internally, in terms of proper radial length, it might be collapsing at a speed ~c! We call the latter as Eternally Collapsing Objects.
dc.descriptionTo be published in the Dec., 2000 issue of Foundation of Physics Letters. Several small changes, more discussion on the nature of Eternally Collapsing Objects (supposed BHs). The problem addressed from 4 directions, (i) Speed of the collapsing fluid must be less than c, (ii) In Sch. coordinates, the metric becomes null on the Event Horizon (EH), (iii) Even in Kruskal coordinates the metric becomes null on the EH, (iv) When crucial errors of Oppenheimer and Snyder paper are removed, they show that trapped surfaces are not allowed
dc.identifierhttps://arxiv.org/abs/astro-ph/9910408
dc.identifierhttp://arxiv.org/abs/astro-ph/9910408
dc.identifierFound.Phys.Lett. 13 (2000) 543
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15069
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleNon-occurrence of trapped surfaces and Black Holes in spherical gravitational collapse: An abridged version
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