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

Authors

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