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A Potential Barrier Halting Spherically Symmetric Relativistic Gravitational Collapse

Abstract

For asymptotic observers, geodesic paths of radially inbound photons in a Schwarzschild space-time approach the critical radius of a collapsed star asymptotically. When considering processes of accretion or quantum evaporation however, inbound null geodesics, in a corresponding Vaidya space-time, pass through a momentary inflection point where time dilation diverges and subsequently reach the critical radius within a finite coordinate time. By considering a diagonal form of the Vaidya metric that reduces to the Schwarzschild metric in the zero accretion/evaporation limit, photons approaching on radial paths pass through the inflection point and undergo infrared divergence at the critical radius. Particles on radial timelike geodesics are shown to meet a potential barrier beyond the inflection point, which diverges at the critical radius.

Acceptance Date Aug 26, 2021
Publication Date Aug 26, 2021
Pages 101-113
Book Title Research Trends and Challenges in Physical Science
ISBN 978-93-91595-88-3
DOI https://doi.org/10.9734/bpi/rtcps/v1/4203F
Publisher URL https://stm.bookpi.org/RTCPS-V1/article/view/3614




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