Gauge Invariant Perturbations of General Spherically Symmetric Spacetimes

Liu, Wentao; Fang, Xiongjun; Jing, Jiliang; Wang, Anzhong

doi:10.48550/arxiv.2201.01259

Cited by 2 publications

(2 citation statements)

References 32 publications

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“…The detection of the gravitational waves by Laser Interferometer Gravitational-Wave Observatory (LIGO) and Virgo [32] and the first picture of the black hole by Event Horizon Telescope (EHT) [33] label that we have entered the multi-messenger astronomy. The study on the gravitational waves and black hole shadows have been attracted a lot of attentions [34][35][36][37][38][39][40][41]. For the gravitational waves of a binary black hole merger system, there are three parts: inspiral, merger, and ringdown.…”

Section: Jcap07(2024)008mentioning

confidence: 99%

Quasinormal modes and greybody factor of a Lorentz-violating black hole

Guo,

Tan,

Liu

2024

J. Cosmol. Astropart. Phys.

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Recently, a static spherically symmetric black hole solution was found in gravity nonminimally coupled a background Kalb-Ramond field. The Lorentz symmetry is spontaneously broken when the Kalb-Ramond field has a nonvanishing vacuum expectation value. In this work, we focus on the quasinormal modes and greybody factor of this black hole. The master equations for the perturbed scalar field, electromagnetic field, and gravitational field can be written into a Schrödinger equation. We use three methods to solve the quasinormal frequencies in the frequency domain. The results agree well with each other. The time evolution of a Gaussian wave packet is studied. The quasinormal frequencies fitted from the time evolution data agree well with that of frequency domain. The greybody factor is calculated by Wentzel-Kramers-Brillouin (WKB) method. The effect of the Lorentz-violating parameter on the quasinormal modes and greybody factor are also studied.

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Section: Jcap07(2024)008mentioning

confidence: 99%

Quasinormal modes and greybody factor of a Lorentz-violating black hole

Guo,

Tan,

Liu

2024

J. Cosmol. Astropart. Phys.

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“…For spherically symmetric spacetimes, one can always decompose the perturbed metric into spherical harmonics. And this process generally ensures that the angular part and the radial part can be automatically decoupled, while the odd-parity perturbation and the evenparity perturbation are also automatically separated [23][24][25][26]. But this decomposition is no longer valid in rotating spacetime.…”

Section: Introductionmentioning

confidence: 99%

QNMs of slowly rotating Einstein-Bumblebee Black Hole

Li¹,

Fang²,

Jing³

et al. 2022

Preprint

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We have studied the quasinormal modes (QNMs) of a slowly rotating black hole with Lorentzviolating parameter in Einstein-bumblebee gravity. We analyse the slow rotation approximation of the rotating black hole in the Einstein-bumblebee gravity, and obtain the master equations for scalar perturbation, vector perturbation and axial gravitational perturbation, respectively. Using the matrix method and the continuous fraction method, we numerically calculate the QNM frequencies. In particular, for scalar field, it shows that the QNMs up to the second order of rotation parameter have higher accuracy. The numerical results show that, for both scalar and vector fields, the Lorentz-violating parameter has a significant effect on the imaginary part of the QNM frequencies, while having a relatively smaller impact on the real part of the QNM frequencies. But for axial gravitational perturbation, the effect of increasing the Lorentz-violating parameter is similar to that of increasing the rotation parameter ã.

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Gauge Invariant Perturbations of General Spherically Symmetric Spacetimes

Cited by 2 publications

References 32 publications

Quasinormal modes and greybody factor of a Lorentz-violating black hole

Quasinormal modes and greybody factor of a Lorentz-violating black hole

QNMs of slowly rotating Einstein-Bumblebee Black Hole

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