Rapidly rotating black holes in dynamical Chern-Simons gravity: Decoupling limit solutions and breakdown

Stein, Leo C.

doi:10.1103/physrevd.90.044061

Cited by 49 publications

(103 citation statements)

References 30 publications

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“…However, near the plunge of the two BHs higher curvature modifications may become important, possibly exceeding the energy cutoff, and the small-coupling approximation would break down. This suspicion is supported by a recent study exploring highly rotating BHs in dCS gravity [19], where it has been shown that the range of validity of the perturbative approach (considering only the dCS modifica tion) shrinks with increasing BH spin.…”

Section: Discussionmentioning

confidence: 86%

“…No complete solution for a rotating BH in dCS theory is known, but see Refs. [12][13][14][15][16][17][18][19] for perturbative calculations. Exploring dynamical BH solu tions provides the possibility to explore gravity in the strong-field regime.…”

Section: R2+ F 2{e)rabrab + H {0)rabcdrabcd + F A(e)* *Rrmentioning

confidence: 99%

“…GW astronomy might furthermore yield more stringent bounds on the dCS coupling parameter [9], which so far has been constrained by table-top experiments [13] and obser vations of frame-dragging effects in the Solar System [34] to be y^ctcsl < 10*km. Recently, it has been suggested that observations of highly spinning, solar-mass BHs could be employed to improve this bound to ^/|a cs | < O (\0)km [19], Investigating dCS gravity for comparable-mass binary systems, the most promising sources for ground-based GW detectors, is still outstanding in the high curvature regime (see Ref. [35] for a study in the PN approximation)missing is a formulation which could be treated by standard numerical relativity techniques [36], It was foreseen in Ref.…”

Section: R2+ F 2{e)rabrab + H {0)rabcdrabcd + F A(e)* *Rrmentioning

confidence: 99%

“…Refs. [13,[17][18][19]) and perform an order-by-order reduction, in which both the EoMs and dynamical variables are expanded in terms of the dCS coupling parameter. …”

Section: Chern-semons Gravity As An Effective Theorymentioning

confidence: 99%

“…The approach we follow here is somehow similar to that in Refs. [18,19] where the rotating BH solution in dCS gravity is approximated with a perturbation in the coupling. Assuming that we know all the fields up to order cN~l for a given value of N, the equations for the components of the metric and scalar field at order N are given by a linear perturbation around the background of the metric and scalar field truncated up to order cN~l.…”

Section: B Small-coupling Expansionmentioning

confidence: 99%

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Initial value formulation of dynamical Chern-Simons gravity

Hilditch²,

2015

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We derive an initial value formulation for dynamical Chem-Simons gravity, a modification of general relativity involving parity-violating higher derivative terms. We investigate the structure of the resulting system of partial differential equations thinking about linearization around arbitrary backgrounds. This type of consideration is necessary if we are to establish well-posedness of the Cauchy problem. Treating the field equations as an effective field theory we find that weak necessary conditions for hyperbolicity are satisfied. For the full field equations we find that there are states from which subsequent evolution is not determined. Generically the evolution system closes, but is not hyperbolic in any sense that requires a first order pseudodifferential reduction. In a cursory mode analysis we find that the equations of motion contain terms that may cause ill-posedness of the initial value problem.

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Section: Discussionmentioning

confidence: 86%

Section: R2+ F 2{e)rabrab + H {0)rabcdrabcd + F A(e)* *Rrmentioning

confidence: 99%

Section: R2+ F 2{e)rabrab + H {0)rabcdrabcd + F A(e)* *Rrmentioning

confidence: 99%

“…Refs. [13,[17][18][19]) and perform an order-by-order reduction, in which both the EoMs and dynamical variables are expanded in terms of the dCS coupling parameter. …”

Section: Chern-semons Gravity As An Effective Theorymentioning

confidence: 99%

Section: B Small-coupling Expansionmentioning

confidence: 99%

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Initial value formulation of dynamical Chern-Simons gravity

Hilditch²,

2015

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Probing the nature of black holes: Deep in the mHz gravitational-wave sky

et al. 2021

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Black holes are unique among astrophysical sources: they are the simplest macroscopic objects in the Universe, and they are extraordinary in terms of their ability to convert energy into electromagnetic and gravitational radiation. Our capacity to probe their nature is limited by the sensitivity of our detectors. The LIGO/Virgo interferometers are the gravitational-wave equivalent of Galileo’s telescope. The first few detections represent the beginning of a long journey of exploration. At the current pace of technological progress, it is reasonable to expect that the gravitational-wave detectors available in the 2035-2050s will be formidable tools to explore these fascinating objects in the cosmos, and space-based detectors with peak sensitivities in the mHz band represent one class of such tools. These detectors have a staggering discovery potential, and they will address fundamental open questions in physics and astronomy. Are astrophysical black holes adequately described by general relativity? Do we have empirical evidence for event horizons? Can black holes provide a glimpse into quantum gravity, or reveal a classical breakdown of Einstein’s gravity? How and when did black holes form, and how do they grow? Are there new long-range interactions or fields in our Universe, potentially related to dark matter and dark energy or a more fundamental description of gravitation? Precision tests of black hole spacetimes with mHz-band gravitational-wave detectors will probe general relativity and fundamental physics in previously inaccessible regimes, and allow us to address some of these fundamental issues in our current understanding of nature.

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Extreme gravity tests with gravitational waves from compact binary coalescences: (I) inspiral–merger

2018

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The observation of the inspiral and merger of compact binaries by the LIGO/Virgo collaboration ushered in a new era in the study of strongfield gravity. We review current and future tests of strong gravity and of the Kerr paradigm with gravitational-wave interferometers, both within a theoryagnostic framework (the parametrized post-Einsteinian formalism) and in the context of specific modified theories of gravity (scalar-tensor, Einstein-dilaton-Gauss-Bonnet, dynamical Chern-Simons, Lorentz-violating, and extra dimensional theories). In this contribution we focus on (i) the information carried by the inspiral radiation, and (ii) recent progress in numerical simulations of compact binary mergers in modified gravity.

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Rapidly rotating black holes in dynamical Chern-Simons gravity: Decoupling limit solutions and breakdown

Cited by 49 publications

References 30 publications

Initial value formulation of dynamical Chern-Simons gravity

Initial value formulation of dynamical Chern-Simons gravity

Probing the nature of black holes: Deep in the mHz gravitational-wave sky

Extreme gravity tests with gravitational waves from compact binary coalescences: (I) inspiral–merger

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