Weak field limit and gravitational waves in f(T, B) teleparallel gravity

Capozziello, Salvatore; Capriolo, Maurizio; Caso, Loredana

doi:10.1140/epjc/s10052-020-7737-9

Cited by 102 publications

(69 citation statements)

References 58 publications

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“…In particular, we discuss the intriguing case of nearly degenerate massive modes, and we study the very peculiar phenomenon of wave beating. Such a beating mode is a very striking track of the considered modified theory of gravity and it suggests that upper limits on the existence of mixed f (R, R) model can be experimentally put via present and incoming interferometer devices [66][67][68][69][70][71][72][73][74]. The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Scalar modes in extended hybrid metric-Palatini gravity: Weak field phenomenology

Bombacigno

Moretti

Montani³

2019

Phys. Rev. D

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We investigate the nature of additional scalar degrees of freedom contained in extended hybrid metric-Palatini gravity, outlining the emergence of two coupled dynamical scalar modes. In particular, we discuss the weak field limit of the theory, both in the static case and from a gravitational waves perspective. In the first case, performing an analysis at the lowest order of the parametrized post-Newtonian structure of the model, we stress the settling of Yukawa corrections to the Newtonian potential. In this respect, we show that one scalar field can have long range interactions and used in the principle for mimicking dark matter effects. Concerning the gravitational waves propagation, instead, we demonstrate that is possible to have well-defined physical degrees of freedom, provided by suitable constraints on model parameters. Moreover, the study of the geodesic deviation points out the presence of breathing and longitudinal polarizations due to these novel scalar waves, which on peculiar assumptions can give rise to beating phenomena during their propagation.

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Section: Introductionmentioning

confidence: 99%

Scalar modes in extended hybrid metric-Palatini gravity: Weak field phenomenology

Bombacigno

Moretti

Montani³

2019

Phys. Rev. D

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“…Further details are available in Refs. [65][66][67]. This equation is equivalent to the equation of a massive scalar field with a source term that depends on the perturbation.…”

Section: Perturbation In General F (R)mentioning

confidence: 99%

Quasi-normal modes of static spherically symmetric black holes in f(R) theory

Datta

Bose

2020

Eur. Phys. J. C

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We study the quasi-normal modes (QNMs) of static, spherically symmetric black holes in f (R) theories. We show how these modes in theories with non-trivial f (R) are fundamentally different from those in General Relativity. In the special case of f (R) = αR 2 theories, it has been recently argued that iso-spectrality between scalar and vector modes breaks down. Here, we show that such a break down is quite general across all f (R) theories, as long as they satisfy f ′′ (0)/(1 + f ′′ (0)) = 0, where a prime denotes derivative of the function with respect to its argument. We specifically discuss the origin of the breaking of isospectrality. We also show that along with this breaking the QNMs receive a correction that arises when f ′′ (0)/(1 + f ′ (0)) = 0 owing to the inhomogeneous term that it introduces in the mode equation. We discuss how these differences affect the "ringdown" phase of binary black hole mergers and the possibility of constraining f (R) models with gravitational-wave observations. We also find that even though the iso-spectrality is broken in f (R) theories, in general, nevertheless in the corresponding scalar-tensor theories in the Einstein frame it is unbroken. * skdatta@iucaa.in † sukanta@iucaa.in

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“…Also, by using GW150914 and GW151226 [9,15,16], the observational constraints on modified gravity theories have been examined [17]. Gravitational waves in the context of modified gravity theories have been analyzed [18][19][20][21][22][23][24]. Under such current situations, it is very significant to investigate the solutions of spherically symmetric solutions that could describe black holes, which are the sources emitting gravitational waves, in modified gravity theories in detail so that we can find some clues to deduce information of fundamental physics in strong gravity regions.…”

Section: Introductionmentioning

confidence: 99%

“…It is explicitly seen that the energy function E L f vanishes due to the field equation (20) which is obtained by varying the Lagrangian (18) according to the metric variable B. Therefore, the solution of equation E L f = 0 in terms of B is given by (23).…”

Section: Introductionmentioning

confidence: 99%

New exact spherically symmetric solutions in f(R,ϕ,X) gravity by Noether's symmetry approach

Bahamonde

Bamba

Camcı³

2019

J. Cosmol. Astropart. Phys.

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The exact solutions of spherically symmetric space-times are explored by using Noether symmetries in f (R, φ, X) gravity with R the scalar curvature, φ a scalar field and X the kinetic term of φ. Some of these solutions can represent new black holes solutions in this extended theory of gravity. The classical Noether approach is particularly applied to acquire the Noether symmetry in f (R, φ, X) gravity. Under the classical Noether theorem, it is shown that the Noether symmetry in f (R, φ, X) gravity yields the solvable first integral of motion. With the conservation relation obtained from the Noether symmetry, the exact solutions for the field equations can be found. The most important result in this paper is that, without assuming R = constant, we have found new spherically symmetric solutions in different theories such as: power-law f (R) = f0R n gravity, non-minimally coupling models between the scalar field and the Ricci scalar f (R, φ, X) = f0R n φ m + f1X q − V (φ), non-minimally couplings between the scalar field and a kinetic term f (R, φ, X) = f0R n + f1φ m X q , and also in extended Brans-Dicke gravity f (R, φ, X) = U (φ, X)R. It is also demonstrated that the approach with Noether symmetries can be regarded as a selection rule to determine the potential V (φ) for φ, included in some class of the theories of f (R, φ, X) gravity. * 1,2,3 sebastian.beltran.

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Weak field limit and gravitational waves in f(T, B) teleparallel gravity

Cited by 102 publications

References 58 publications

Scalar modes in extended hybrid metric-Palatini gravity: Weak field phenomenology

Scalar modes in extended hybrid metric-Palatini gravity: Weak field phenomenology

Quasi-normal modes of static spherically symmetric black holes in f(R) theory

New exact spherically symmetric solutions in f(R,ϕ,X) gravity by Noether's symmetry approach

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