A Potential Barrier Halting Spherically Symmetric Relativistic Gravitational Collapse | Chapter 9 | Research Trends and Challenges in Physical Science Vol. 1

 Geodesic pathways of radially inbound photons in a Schwarzschild space-time approach the critical radius of a collapsed star asymptotically for asymptotic observers. Inbound null geodesics in a matching Vaidya space-time, however, pass through a temporary inflection point when time dilation diverges and then reach the critical radius within a finite coordinate time when considering accretion or quantum evaporation processes. Photons approaching on radial pathways pass through the inflection point and suffer infrared divergence at the critical radius when using a diagonal variant of the Vaidya metric that reduces to the Schwarzschild metric in the zero accretion/evaporation limit. Beyond the inflection point, particles on radial timelike geodesics encounter a potential barrier, which diverges at the critical radius.

Author (S) Details

James C. Austin
University of Keele, Keele, Staffordshire, ST5 5BG, UK.

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