Analytical approximation for the Einstein-dilaton-Gauss-Bonnet black hole metric

Kokkotas, Kostas D.; Konoplya, R. A.; Zhidenko, A.

doi:10.1103/physrevd.96.064004

Cited by 59 publications

(55 citation statements)

References 60 publications

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“…As a rule, a few orders of expansion are sufficient for getting reasonable approximations for the metrics, so that one can compute various physical effects (quasinormal modes, particle motion, Hawking radiation, accretion etc. [25][26][27][28][29][30]) in the black-hole background with negligible error due to the replacement of an accurate numerical blackhole solution by an approximate analytical one.…”

Section: Introductionmentioning

confidence: 99%

Analytical representation for metrics of scalarized Einstein-Maxwell black holes and their shadows

2019

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Here we construct approximate analytical forms for the metric coefficients and fields representing the scalarized Einstein-Maxwell black holes with various couplings of the scalar field, once the parameters of the system are fixed. By increasing approximation order, one can obtain the analytic representation with any desired accuracy, what was tested via calculations of shadows for these black holes by using approximate analytical and accurate numerical metric functions. We share the Mathematica R code [1] which allows one to find an appropriate analytical form of the metric for any couplings and values of parameters. Scalarization increases the radius of the black-hole shadow for all the considered coupling functions.

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Section: Introductionmentioning

confidence: 99%

Analytical representation for metrics of scalarized Einstein-Maxwell black holes and their shadows

2019

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“…In consequence we are able to find analytical internal solutions of Einstein equations that considers an energy‐momentum tensor of the form

T_{μ ν} = T_{μ ν}^{(P F)} + α θ_{μ ν},

where α is a coupling constant and

θ_{μ ν}

is a gravitational source. In fact, with this approach we are able to study different systems as polytropic spheres, Horava‐aether gravity, Einstein‐Maxwell, Einstein Klein‐Gordon, and many others (see for example []).…”

Section: Introductionmentioning

confidence: 99%

Using MGD Gravitational Decoupling to Extend the Isotropic Solutions of Einstein Equations to the Anisotropical Domain

Heras¹,

León²

2018

Fortschritte der Physik

110

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The aim of this work is to obtain new analitical solutions for Einstein equations in the anisotropical domain. This will be done via the minimal geometric deformation (MGD) approach, that allow us to decouple the Einstein equations. It requires a perfect fluid known solution that we will choose to be Finch‐Skeas(FS) solution. Two different constraints were applied, and in each case we found an interval of values for the free parameters, where necesarly other physical solutions shall live.

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“…where r max is the position of peak of the effective potential. For the Einstein-Weyl gravity the values of ω was found in [38] for small 1/ℓ, where t = 1054 − 1203p is a deviations from the Schwarzschild branch:…”

Section: Quasinormal Modes Of Massless Dirac Field For Einstein-mentioning

confidence: 99%

“…The explicit expression for the metric coefficients were obtained numerically in [36] for Einstein-dilaton-Gauss-Bonnet gravity and in [18] for Einstein-Weyl gravity. The approximate analytical expressions (which will be used here) were obtained in [37] for the Einstein-dilaton-Gauss-Bonnet metric, in [38] for the Einstein-Weyl metric. They are also written down in Appendixs A, B.…”

Section: Black Hole Metric and Analytics For The Wave Equationmentioning

confidence: 99%

Quasinormal modes of Dirac field in the Einstein–Dilaton–Gauss–Bonnet and Einstein–Weyl gravities

Zinhailo¹

2019

Eur. Phys. J. C

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Quasinormal modes of Dirac field in the background of a non-Schwarzschild black holes in theories with higher curvature corrections are investigated in this paper. With the help of the semi-analytic WKB approximation and further using of Padé approximants as prescribed in [1] we consider quasinormal modes of a test massless Dirac field in the Einstein-dilaton-Gauss-Bonnet (EdGB) and Einstein-Weyl (EW) theories. Even though the effective potential for one of the chiralities has a negative gap we show that the Dirac field is stable in both theories. We find the dependence of the modes on the new dimensionless parameter p (related to the coupling constant in each theory) for different values of the angular parameter ℓ and show that the frequencies tend to linear dependence on p. The allowed deviations of qausinormal modes from their Schwarzschild limit are one order larger for the Einstein-Weyl theory than for the Einstein-dilaton-Gauss-Bonnet one, achieving the order of tens of percents. In addition, we test the Hod conjecture which suggests the upper bound for the imaginary part of the frequency of the longest lived quasinormal modes by the Hawking temperature multiplied by a factor. We show that in both non-Schwarzschild metrics the Dirac field obeys the above conjecture for the whole range of black-hole parameters.

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Analytical approximation for the Einstein-dilaton-Gauss-Bonnet black hole metric

Cited by 59 publications

References 60 publications

Analytical representation for metrics of scalarized Einstein-Maxwell black holes and their shadows

Analytical representation for metrics of scalarized Einstein-Maxwell black holes and their shadows

Using MGD Gravitational Decoupling to Extend the Isotropic Solutions of Einstein Equations to the Anisotropical Domain

Quasinormal modes of Dirac field in the Einstein–Dilaton–Gauss–Bonnet and Einstein–Weyl gravities

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