Dipolar tidal effects in scalar-tensor theories

Bernard, Laura

doi:10.1103/physrevd.101.021501

Cited by 36 publications

(29 citation statements)

References 38 publications

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“…[7]: the static responses of Schwarzschild black holes are generally non-zero for all these different types of perturbations, but accidentally they vanish in four dimensions. Moreover, black holes' Love numbers were found to be non-zero in certain modified gravity theories [3,13,14].…”

Section: Introductionmentioning

confidence: 99%

On the vanishing of Love numbers for Kerr black holes

Charalambous

Dubovsky

Ivanov

2021

J. High Energ. Phys.

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It was shown recently that the static tidal response coefficients, called Love numbers, vanish identically for Kerr black holes in four dimensions. In this work, we confirm this result and extend it to the case of spin-0 and spin-1 perturbations. We compute the static response of Kerr black holes to scalar, electromagnetic, and gravitational fields at all orders in black hole spin. We use the unambiguous and gauge-invariant definition of Love numbers and their spin-0 and spin-1 analogs as Wilson coefficients of the point particle effective field theory. This definition also allows one to clearly distinguish between conservative and dissipative response contributions. We demonstrate that the behavior of Kerr black hole responses to spin-0 and spin-1 fields is very similar to that of the spin-2 perturbations. In particular, static conservative responses vanish identically for spinning black holes. This implies that vanishing Love numbers are a generic property of black holes in four-dimensional general relativity. We also show that the dissipative part of the response does not vanish even for static perturbations due to frame-dragging.

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Section: Introductionmentioning

confidence: 99%

On the vanishing of Love numbers for Kerr black holes

Charalambous

Dubovsky

Ivanov

2021

J. High Energ. Phys.

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“…The companion of Cygnus X-1 will disrupt possible scalar structures around the black hole for large gravitational couplings. Tidal effects in massless scalar-tensor theories were considered in [116], where a new class of scalar-type tidal Love numbers are to used. It turns out that in a system dominated by dipolar emission, tidal effects may be detectable by LISA or third generation gravitational wave detectors.…”

Section: Discussion and Final Remarksmentioning

confidence: 99%

Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type f(Q, T) gravity

et al. 2021

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We consider the geodesic deviation equation, describing the relative accelerations of nearby particles, and the Raychaudhuri equation, giving the evolution of the kinematical quantities associated with deformations (expansion, shear and rotation) in the Weyl-type f(Q, T) gravity, in which the non-metricity Q is represented in the standard Weyl form, fully determined by the Weyl vector, while T represents the trace of the matter energy–momentum tensor. The effects of the Weyl geometry and of the extra force induced by the non-metricity–matter coupling are explicitly taken into account. The Newtonian limit of the theory is investigated, and the generalized Poisson equation, containing correction terms coming from the Weyl geometry, and from the geometry matter coupling, is derived. As a physical application of the geodesic deviation equation the modifications of the tidal forces, due to the non-metricity–matter coupling, are obtained in the weak-field approximation. The tidal motion of test particles is directly influenced by the gradients of the extra force, and of the Weyl vector. As a concrete astrophysical example we obtain the expression of the Roche limit (the orbital distance at which a satellite begins to be tidally torn apart by the body it orbits) in the Weyl-type f(Q, T) gravity.

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“…S C denotes the compact terms and S F originates from the second line in (18), which represents the nonlinear field contribution. In the limit m s = 0, the expansion of S (33) is consistent with equations (3.10a) and (3.10b) in [14].…”

Section: Motion Of Point Particlesmentioning

confidence: 99%

“…Using the Fokker action of point particles, the equation of motion of a binary system was obtained up to 3PN order [16,17]. Recently, the tidal effect due to the scalar field, which starts at 3PN order, has been incorporated into the phase of the waveforms [18].…”

Section: Introductionmentioning

confidence: 99%

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State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics & Civil Engineering, China University of Mining & Technology, Xuzhou 221116, China

Liu

Wei

Wang

et al. 2019

Mathematical Biosciences and Engineering

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This paper is devoted to the L p (p > 1) solutions of one-dimensional backward stochastic differential equations (BSDEs for short) with general time intervals and generators satisfying some non-uniform conditions in t and ω. An existence and uniqueness result, a comparison theorem and an existence result for the minimal solutions are respectively obtained, which considerably improve some known works.Some classical techniques used to deal with the existence and uniqueness of L p (p > 1) solutions of BSDEs with Lipschitz or linear-growth generators are also developed in this paper.

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Dipolar tidal effects in scalar-tensor theories

Cited by 36 publications

References 38 publications

On the vanishing of Love numbers for Kerr black holes

On the vanishing of Love numbers for Kerr black holes

Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type f(Q, T) gravity

State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics & Civil Engineering, China University of Mining & Technology, Xuzhou 221116, China

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