Ringing of the Regular Black Hole with Asymptotically Minkowski Core

Simpson, Alex

doi:10.3390/universe7110418

Cited by 12 publications

(7 citation statements)

References 62 publications

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“…It is expected that the next generation of detectors can give us more conclusive information about QNMs of BHs. Study of QNMs of regular BHs have also attracted lots of attention [55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72], and results show that regular structure of BH origin may have considerable influences on QNMs. However, previous studies mainly involve gravitational or matter perturbations separately or test fields, investigations of gravitational and matter perturbations simultaneously in a consistent way are few [73][74][75][76].…”

Section: Introductionmentioning

confidence: 99%

Gravito-electromagnetic perturbations and QNMs of regular black holes

Meng,

Zhang

2023

Class. Quantum Grav.

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In the framework of Einstein's gravity coupled to nonlinear electromagnetic fields, we study gravito-electromagnetic perturbations of magnetic regular black holes. The master equations of perturbations are obtained through Chandrasekhar's formulation, from which it can be seen, different from the electric counterparts, for magnetic black holes gravitational perturbations with odd-parity coupled only to the electromagnetic perturbations with even-parity. We solve the master equations numerically and obtain quasinormal modes (QNMs) for three typical regular black holes. Results show that QNMs of distinct regular black holes differ significantly, and they differ from that of the Reissner-Nordstr¨om black hole as well. Indications of these results on the stability of these regular black holes are discussed in detail.

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Section: Introductionmentioning

confidence: 99%

Gravito-electromagnetic perturbations and QNMs of regular black holes

Meng,

Zhang

2023

Class. Quantum Grav.

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“…Exploration regarding the extraction of astrophysical observables for nonsingular candidate geometries has been performed in a vast array of contexts [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. One could propose a list of further constraints on such geometries which would render them as appropriate as possible for the experimental community, and streamline the discourse between theory and experiment.…”

Section: Introductionmentioning

confidence: 99%

The eye of the storm: A regular Kerr black hole

Simpson,

Visser

2021

Preprint

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We present a highly tractable non-singular modification of the Kerr geometry, dubbed the "eye of the storm" -a rotating regular black hole with an asymptotically Minkowski core. This is achieved by "exponentially suppressing" the mass parameter in the Kerr spacetime: m → m e −ℓ/r . The single parameter ℓ quantifies the deviation from the usual Kerr spacetime. Some of the classical energy conditions are globally satisfied, whilst certain choices for ℓ force any energy-condition-violating physics into the deep core. The geometry possesses the full "Killing tower" of principal tensor, Killing-Yano tensor, and nontrivial Killing tensor, with associated Carter constant; hence the Hamilton-Jacobi equations are separable, and the geodesics integrable. The Klein-Gordon equation is also separable on this candidate spacetime. The tightly controlled deviation from Kerr renders the physics extraordinarily tractable when compared with analogous results in the current literature. This spacetime will be amenable to straightforward extraction of astrophysical observables falsifiable/ verifiable by the experimental community.

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“…In Chapter 6 an analysis of the quasi-normal modes of aMc spacetime is performed; the fundamental modes of spin zero and spin one perturbations are extracted to first-order using the WKB approximation (for details on these pieces of terminology, see Chapter 6, or the original work in reference [350]). Qualitative features of the quasi-normal mode profiles are then compared with known results, with the long-term aim of speaking directly to the ringdown calculation for the LIGO/Virgo collaboration [3, 4, 340, 2, 5, 6, 1], or indeed LISA [41].…”

Section: Chapter 5 "Amc" Spacetimementioning

confidence: 99%

“…QUASI-NORMAL MODES AND THE RINGDOWN Consequently, the analysis in Chapter 6 contains some of the first steps required to speak directly to the calculations relevant for the gravitational wave observatories. These results were first presented in reference [350]. In § 6.1 a Regge-Wheeler analysis is performed for the aMc spacetime discussed in Chapter 5, followed by a first-order WKB approximation of the permitted QNMs for propagating waveforms in § 6.2.…”

Section: Quasi-normal Modes and The Ringdownmentioning

confidence: 99%

“…As has already been discussed, exploration regarding the extraction of astrophysical observables for nonsingular candidate geometries has been performed in a vast array of contexts [148,163,7,91,94,93,118,110,343,56,90,95,84,105,40,350]. Appealing to the methodology of "turning one knob at a time" by working within the framework of "GR+no curvature singularities" (see § 1.1), one can propose a list of further constraints on nonsingular geometries which render them as appropriate as possible for the experimental and observational communities, streamlining the discourse between theory and experiment.…”

Section: Chaptermentioning

confidence: 99%

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Excising Curvature Singularities from General Relativity

Simpson¹

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This thesis operates within the framework of general relativity withoutcurvature singularities. The motivation for this framework is explored,and several conclusions are drawn with a look towards future research. There are many ways to excise curvature singularities from general relativity; a full list of desirable constraints on candidate geometries is presented. Several specific candidate spacetimes in both spherical symmetryand axisymmetry are rigorously analysed, typically modelling (charged oruncharged) regular black holes or traversable wormholes. Broadly, theseare members of the family of black-bounce spacetimes, and the familyof black holes with asymptotically Minkowski cores. Related thin-shelltraversable wormhole constructions are also explored via the Darmois–Israel formalism, as well as a brief look at the viability of thin-shell Dysonmega-spheres. The eye of the storm geometry is analysed, and discoveredto be very close to an idealised candidate geometry within this framework. It is found to contain highly desirable features, and is not precluded bycurrently available measurements. For all spacetimes discussed, particular focus is placed on the extraction of (potential) astrophysical observables in principle falsifiable/verifiable by the observational and experimental communities. An examination of the spin one and spin zero quasinormal modes on a background regular black hole with asymptoticallyMinkowski core is performed by employing the relativistic Cowling approximation. A cogent effort is made to streamline the discourse betweentheory and experiment, and to begin filling the epistemological gap, whichwill enable the various communities involved to optimise the advancement of physics via the newly available observational technologies (suchas LIGO/Virgo, and the upcoming LISA). Furthermore, three somewhatgeneral theorems are presented, and two new geometries are introducedfor the first time to the literature.

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Ringing of the Regular Black Hole with Asymptotically Minkowski Core

Cited by 12 publications

References 62 publications

Gravito-electromagnetic perturbations and QNMs of regular black holes

Gravito-electromagnetic perturbations and QNMs of regular black holes

The eye of the storm: A regular Kerr black hole

Excising Curvature Singularities from General Relativity

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