Generalized Eddington-Finkelstein coordinates for a black hole with a time-dependent horizon

Authors

Michael Reuben C. Solis Physics Department, De La Salle University, Manila
Mikhail P. Solon National Institute of Physics, University of the Philippines Diliman
Kristian Hauser Villegas National Institute of Physics, University of the Philippines Diliman

Abstract

The method of characteristics is used to find a coordinate system that is regular on the surface r = 2m(t) of the metric ds² = −[1 − 2m(t)/r] dt² + [1 − 2m(t)/r]⁻¹dr² + r²dθ² + r² sin²θ dφ² . It is shown that the surface r = 2m(t) is an event horizon, and therefore the metric, for m(t) ≥ 0 may be interpreted as a black hole with a time dependent horizon. For the special case where m is time-independent, the coordinate transformation obtained using the method reduces to Eddington-Finkelstein coordinates.

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Issue

2008: Proceedings of the 26th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2008-PB-08

Section

Poster Session B (Instrumentation, Environmental, and Theoretical Physics)

Published

2008-10-22

How to Cite

[1]

MRC Solis, MP Solon, and KH Villegas, Generalized Eddington-Finkelstein coordinates for a black hole with a time-dependent horizon, Proceedings of the Samahang Pisika ng Pilipinas 26, SPP-2008-PB-08 (2008). URL: https://proceedings.spp-online.org/article/view/SPP-2008-PB-08.