Parameterizations of black-hole spacetimes beyond circularity

Delaporte, Héloïse; Eichhorn, Astrid; Held, Aaron

doi:10.48550/arxiv.2203.00105

Cited by 4 publications

(4 citation statements)

References 67 publications

(111 reference statements)

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“…For the discussion on noncircular spacetimes and their observational implications, we refer the readers to Refs. [87][88][89][90].…”

Section: Deformed Schwarzschild Spacetimementioning

confidence: 99%

Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes

Chen,

Chiang,

Tsao

2022

Preprint

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The geometric optics approximation provides an interpretation for eikonal correspondence that, in black-hole-containing spacetimes, connects high-frequency black hole quasinormal modes with closed photon orbits around said black hole. This correspondence has been identified explicitly for Schwarzschild, Reissner-Nordström, Kerr, and Kerr-Newman black holes, violation of which can be a potential hint toward physics beyond General Relativity. Notably, the aforementioned black hole spacetimes have sufficient symmetries such that both the geodesic equations and the master wave equations are separable. The identification of the correspondence seems largely relies on these symmetries. One naturally asks how the eikonal correspondence would appear if the spacetime is less symmetric. As a pioneering work in this direction, we consider in this paper a deformed Schwarzschild spacetime retaining only axisymmetry and stationarity. We show that up to the first order of spacetime deformations, the eikonal correspondence manifests through the definition of the averaged radius of trapped photon orbits along their one period. This averaged radius overlaps the potential peak in the master wave equation, which can be defined up to the first order of spacetime deformations, allowing the explicit identification of the eikonal correspondence.

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“…For the discussion on noncircular spacetimes and their observational implications, we refer the readers to Refs. [87][88][89][90].…”

Section: Deformed Schwarzschild Spacetimementioning

confidence: 99%

Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes

Chen,

Chiang,

Tsao

2022

Preprint

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“…In general, such approaches are highly non-unique and theory agnostic in nature. Several interesting regularized BH solutions (both static and rotating) have been proposed over years [4][5][6][7][8][9][10][11][12][13]. Such solutions contain one or more additional parameters over the usual hairs, namely the mass and spin of a Kerr BH.…”

Section: Introductionmentioning

confidence: 99%

Regularized stable Kerr black hole: cosmic censorships, shadow and quasi-normal modes

2023

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Black hole solutions in general relativity come with pathologies such as singularity and mass inflation instability, which are believed to be cured by a yet-to-be-found quantum theory of gravity. Without such consistent description, one may model theory-agnostic phenomenological black holes that bypass the aforesaid issues. These so-called regular black holes are extensively studied in the literature using parameterized modifications over the black hole solutions of general relativity. However, since there exist several ways to model such black holes, it is important to study the consistency and viability of these solutions from both theoretical and observational perspectives. In this work, we consider a recently proposed model of regularized stable rotating black holes having two extra parameters in addition to the mass and spin of a Kerr solution. We start by computing their quasi-normal modes under scalar perturbation and investigate the impact of those additional parameters on black hole stability. In the second part, we study shadows of the central compact objects in $$M87^*$$ M 87 ∗ and $$Sgr\, A^*$$ S g r A ∗ modelled by these regularized black holes and obtain stringent bounds on the parameter space requiring consistency with Event Horizon Telescope observations.

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“…At the same time, a Taylor expansion in terms of the cosine function of the angular variable is taken. On the other hand, Delaporte, Eichhorn and Held [8] discussed the parameterizations of black-hole spacetimes in and beyond General Relativity and showed that the existing parameterizations are included in their new parameterizations.…”

Section: Introductionmentioning

confidence: 99%

The metric of general rotating spacetimes

Gao¹

2022

Preprint

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We propose the metric for general rotating spacetimes. These spacetimes are stationary, axially symmetric and asymptotically flat in space. They can be the spacetimes outside of rotating black holes or rotating celestial bodies such as the Sun and the Earth. The metric functions are expanded in power series of distance. The angle variable appears in the expansion coefficients with the form of powers of cos θ.

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Parameterizations of black-hole spacetimes beyond circularity

Cited by 4 publications

References 67 publications

Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes

Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes

Regularized stable Kerr black hole: cosmic censorships, shadow and quasi-normal modes

The metric of general rotating spacetimes

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