Features and stability analysis of non-Schwarzschild black hole in quadratic gravity

Cai, Yi-Fu; Zhang, Hezi; Liu, Junyu; Cheng, Gongzhen; Wang, Min

doi:10.1007/jhep01(2016)108

Cited by 31 publications

(15 citation statements)

References 76 publications

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“…Also, Refs. [98][99][100][101][102][103][104][105][106] found numerically and studied new black hole solutions (not present in Einstein gravity) and Ref. [107] identified a new class of static spherically symmetric solutions without horizon (called the 2-2-hole), which can, nevertheless, mimic the Schwarzschild solution outside the horizon, with interesting implications for the black hole information paradox.…”

Section: Black Holesmentioning

confidence: 99%

Quadratic Gravity

2018

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Adding the terms quadratic in the curvature to the Einstein-Hilbert action renders gravity renormalizable. This property is preserved in the presence of the most general renormalizable couplings with (and of) a generic quantum field theory (QFT). The price to pay is a massive ghost, which is due to the higher derivatives that the terms quadratic in the curvature imply. In this paper, the quadratic gravity scenario is reviewed including the recent progress on the related stability problem of higher derivative theories. The renormalization of the theory is also reviewed and the final form of the full renormalization group equations in the presence of a generic renormalizable QFT is presented. The theory can be extrapolated up to infinite energy through the renormalization group if all matter couplings flow to a fixed point (either trivial or interacting). Moreover, besides reviewing the above-mentioned topics, are some further insight on the ghost issue and the infinite energy extrapolation are provided. There is hope that in the future, this scenario might provide a phenomenologically viable and UV complete relativistic field theory of all interactions.

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Section: Black Holesmentioning

confidence: 99%

Quadratic Gravity

2018

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“…Furthermore, the QNM frequency can also partly reveal the stability of spacetime geometry under small perturbations [86,87]. Hence, the study of QNM has become a concerned topic [88][89][90][91].…”

Section: Introductionmentioning

confidence: 99%

Quasinormal modes of black holes in f(T) gravity

Zhao¹,

Ren²,

Ilyas³

et al. 2022

Preprint

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We calculate the quasinormal modes (QNM) frequencies of a test massless scalar field around static black holes in f (T ) gravity. Focusing on quadratic f (T ) modifications, which is a good approximation for every realistic f (T ) theory, we first extract the spherically symmetric solutions using the perturbative method, imposing two ansätze for the metric functions, which suitably quantify the deviation from the Schwarzschild solution. Moreover, we extract the effective potential and then we calculate the QNM frequency of the obtained solutions. Firstly, we solve the Schrödinger-like equation numerically using the discretization method, and we extract the frequency and the time evolution of the dominant mode applying the function fit method. Secondly, we perform a semianalytical calculation by applying the third-order WKB approximation method. We show that the results for f (T ) gravity are different comparing to General Relativity, and in particular we obtain a different slope and period of the field decay behavior for different values of the model parameter. Hence, under the light of gravitational-wave observations of increasing accuracy from binary systems, the whole analysis could be used as an additional tool in order to test General Relativity and examine whether torsional gravitational modifications are possible.

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“…On the other side, the question is about testing gravity theories. Some modified gravity theories could have different black hole solutions from those of the general relativity and thus lead to different patterns of photon motion [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. We refer readers to [38] for constraints on gravity theories under a parameterized post-Newtonian formalism.…”

Section: Introductionmentioning

confidence: 99%

New test on the Einstein equivalence principle through the photon ring of black holes

Zhao

Cai

2021

Phys. Rev. D

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Einstein equivalence principle (EEP), as one of the foundations of general relativity, is a fundamental test of gravity theories. In this paper, we propose a new method to test the EEP of electromagnetic interactions through observations of black hole photon rings, which naturally extends the scale of Newtonian and post-Newtonian gravity where the EEP violation through a variable fine structure constant has been well constrained to that of stronger gravity. We start from a general form of Lagrangian that violates EEP, where a specific EEP violation model could be regarded as one of the cases of this Lagrangian. Within the geometrical optical approximation, we find that the dispersion relation of photons is modified: for photons moving in circular orbit, the dispersion relation simplifies, and behaves such that photons with different linear polarizations perceive different gravitational potentials. This makes the size of black hole photon ring depend on polarization. Further assuming that the EEP violation is small, we derive an approximate analytic expression for spherical black holes showing that the change in size of the photon ring is proportional to the violation parameters. We also discuss several cases of this analytic expression for specific models. Finally, we explore the effects of black hole rotation and derive a modified proportionality relation between the change in size of photon ring and the violation parameters. The numerical and analytic results show that the influence of black hole rotation on the constraints of EEP violation is relatively weak for small magnitude of EEP violation and small rotation speed of black holes.

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Features and stability analysis of non-Schwarzschild black hole in quadratic gravity

Cited by 31 publications

References 76 publications

Quadratic Gravity

Quadratic Gravity

Quasinormal modes of black holes in f(T) gravity

New test on the Einstein equivalence principle through the photon ring of black holes

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