Gravito-electromagnetic perturbations of MOG black holes with a cosmological constant: Quasinormal modes and Ringdown waveforms

Fuente: arXiv
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Auteurs principaux: Liu, Wentao, Fang, Xiongjun, Jing, Jiliang, Wang, Jieci
Format: Preprint
Publié: 2023
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author Liu, Wentao
Fang, Xiongjun
Jing, Jiliang
Wang, Jieci
author_facet Liu, Wentao
Fang, Xiongjun
Jing, Jiliang
Wang, Jieci
contents In this paper, we present a black hole solution with a cosmological constant in the Scalar-Tensor-Vector Modified Gravity (MOG) theory, where the strength of the gravitational constant is determined by $G = G_\text{N}(1+α)$. We derive the master equations for gravito-electromagnetic perturbations and numerically solve for the Quasinormal Mode (QNM) spectrum and the ringdown waveforms. Our research results show that increasing the MOG parameter $α$ leads to a decrease in both the real and imaginary parts of the QNM frequencies for electromagnetic and gravitational modes. Similarly, increasing the cosmological constant $Λ$ also results in a decrease in both the real and imaginary parts of the QNM frequencies for these modes. These trends are observed when compared to standard Schwarzschild-de Sitter (S-dS) or MOG black holes, respectively. Meanwhile, the result indicates that in the MOG-de Sitter spacetime, the frequencies for electromagnetic and gravitational modes display isospectrality, and exhibit the same ringdown waveforms. Our findings have implications for the ringdown phase of mergers involving massive compact objects, which is of particular relevance given the recent detections of gravitational waves by LIGO.
format Preprint
id arxiv_https___arxiv_org_abs_2306_03599
institution arXiv
publishDate 2023
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spellingShingle Gravito-electromagnetic perturbations of MOG black holes with a cosmological constant: Quasinormal modes and Ringdown waveforms
Liu, Wentao
Fang, Xiongjun
Jing, Jiliang
Wang, Jieci
General Relativity and Quantum Cosmology
In this paper, we present a black hole solution with a cosmological constant in the Scalar-Tensor-Vector Modified Gravity (MOG) theory, where the strength of the gravitational constant is determined by $G = G_\text{N}(1+α)$. We derive the master equations for gravito-electromagnetic perturbations and numerically solve for the Quasinormal Mode (QNM) spectrum and the ringdown waveforms. Our research results show that increasing the MOG parameter $α$ leads to a decrease in both the real and imaginary parts of the QNM frequencies for electromagnetic and gravitational modes. Similarly, increasing the cosmological constant $Λ$ also results in a decrease in both the real and imaginary parts of the QNM frequencies for these modes. These trends are observed when compared to standard Schwarzschild-de Sitter (S-dS) or MOG black holes, respectively. Meanwhile, the result indicates that in the MOG-de Sitter spacetime, the frequencies for electromagnetic and gravitational modes display isospectrality, and exhibit the same ringdown waveforms. Our findings have implications for the ringdown phase of mergers involving massive compact objects, which is of particular relevance given the recent detections of gravitational waves by LIGO.
title Gravito-electromagnetic perturbations of MOG black holes with a cosmological constant: Quasinormal modes and Ringdown waveforms
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2306.03599