Eikonal black hole ringings in generalized energy-momentum squared gravity
Abstract
In the scope of black hole spectroscopy, several attempts have been made in the past decades to test black holes or gravitational theories via black hole quasinormal modes. In the eikonal approximation, the quasinormal modes are generically associated with the photon ring of the black hole. This correspondence is valid for most cases in general relativity, but may not be true in other theories of gravity. In this paper, we consider the generalized energy-momentum squared gravity in which matter fields are nonminimally coupled to geometry. We investigate the axial perturbations of the charged black holes in this model, without assuming any explicit expression of the action functional. After obtaining the modified Klein-Gordon equation and the modified Maxwell equations, we perturb the gravitational equations and the modified Maxwell equations to derive the coupled master equations of the axial perturbations. In the presence of the nonminimal coupling between matter and geometry, the correspondence between the eikonal quasinormal modes and the photon ring is not satisfied in general. Also, the two coupled fields of the axial perturbations are found to propagate independently, and they do not share the same quasinormal frequencies in the eikonal limit.
- Authors:
-
[1];
- National Taiwan Univ., Taipei (Taiwan)
- National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1608318
- Alternate Identifier(s):
- OSTI ID: 1604222
- Grant/Contract Number:
- 107-2119-M-002-005; 108-2811-M-002-682; AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 6; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Alternative gravity theories; General relativity; Gravitation; Gravitational waves; Classical black holes
Citation Formats
Chen, Che-Yu, and Chen, Pisin. Eikonal black hole ringings in generalized energy-momentum squared gravity. United States: N. p., 2020.
Web. doi:10.1103/physrevd.101.064021.
Chen, Che-Yu, & Chen, Pisin. Eikonal black hole ringings in generalized energy-momentum squared gravity. United States. https://doi.org/10.1103/physrevd.101.064021
Chen, Che-Yu, and Chen, Pisin. Wed .
"Eikonal black hole ringings in generalized energy-momentum squared gravity". United States. https://doi.org/10.1103/physrevd.101.064021. https://www.osti.gov/servlets/purl/1608318.
@article{osti_1608318,
title = {Eikonal black hole ringings in generalized energy-momentum squared gravity},
author = {Chen, Che-Yu and Chen, Pisin},
abstractNote = {In the scope of black hole spectroscopy, several attempts have been made in the past decades to test black holes or gravitational theories via black hole quasinormal modes. In the eikonal approximation, the quasinormal modes are generically associated with the photon ring of the black hole. This correspondence is valid for most cases in general relativity, but may not be true in other theories of gravity. In this paper, we consider the generalized energy-momentum squared gravity in which matter fields are nonminimally coupled to geometry. We investigate the axial perturbations of the charged black holes in this model, without assuming any explicit expression of the action functional. After obtaining the modified Klein-Gordon equation and the modified Maxwell equations, we perturb the gravitational equations and the modified Maxwell equations to derive the coupled master equations of the axial perturbations. In the presence of the nonminimal coupling between matter and geometry, the correspondence between the eikonal quasinormal modes and the photon ring is not satisfied in general. Also, the two coupled fields of the axial perturbations are found to propagate independently, and they do not share the same quasinormal frequencies in the eikonal limit.},
doi = {10.1103/physrevd.101.064021},
journal = {Physical Review D},
number = 6,
volume = 101,
place = {United States},
year = {Wed Mar 11 00:00:00 EDT 2020},
month = {Wed Mar 11 00:00:00 EDT 2020}
}
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