English

Final State of Spherical Gravitational Collapse and Likely Source of Gamma Ray Bursts

Astrophysics 2007-05-23 v5 General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics

Abstract

Following our result that for the final state of continued spherical gravitational collapse, the gravitational mass of the fluid, Mf0M_f\to 0, we show that for a physical fluid the eventual value of 2GMf/Rf12GM_f/R_f\to 1 rather than 2GMf/Rf<12GM_f/R_f <1, indicating approach to a zero-mass black hole. We also indicate that as the final state would be approached, the curvature components tend to blow up, and the proper radial distance ll and the proper time τ\tau \to \infty. This indicates that actually the singularity is never attained for the collapse of an isolated body. We also identify that, the final state may correspond to the local 3-speed vcv\to c, eventhough the circumference speed U0U\to 0. However, at a finite observation epoch, such Eternally Collapsing Objects (ECOs) may have a modest local speed of collapse vcv \ll c, and the lab frame speed of collapse should practically be zero because of their extremely high surface gravitational red-shifts.

Keywords

Cite

@article{arxiv.astro-ph/9803014,
  title  = {Final State of Spherical Gravitational Collapse and Likely Source of Gamma Ray Bursts},
  author = {Abhas Mitra},
  journal= {arXiv preprint arXiv:astro-ph/9803014},
  year   = {2007}
}

Comments

More discussion on Eternally Collapsing Objects; the associated main paper to be published in Foundation of Physics Letters