npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041
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Article

Research Paper

New Phys.: Sae Mulli 2020; 70: 675-680

Published online August 31, 2020 https://doi.org/10.3938/NPSM.70.675

Copyright © New Physics: Sae Mulli.

Symmetry Transformation and Distorted Black Holes

Dal Ho PARK*

Department of Computer and Electronic Physics, Sangji University, Gangwon 26339, Korea

Correspondence to:dhpark@sangji.ac.kr

Received: March 16, 2020; Revised: June 16, 2020; Accepted: July 6, 2020

Abstract

The distortion of Schwarzschild black holes by external matter in axially symmetric spacetime can generally be described by using the harmonic function, and the distortion of charged black holes or rotating black holes is usually obtained by symmetrically transforming the distorted Schwarzschild black holes. However, a previous paper has shown that both the external matter and the black hole have the same mass-to-charge ratio in the distorted Reissner-Nordstr\"om black hole obtained by using the Harrison transformation. This paper further shown that a specific relationship for the angular momentum must be established between the external matter and the black hole in distorted Kerr black holes obtained by using the B\"acklund transformation and the Cl\'ement transformation. Therefore, the symmetry transformation method should not be used to obtain the distortion of black holes by external matter with arbitrary charge or angular momentum.

Keywords: Distorted black holes, Backlund transformation, Rotating black holes

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