Polarization modes of gravitational waves in quadratic gravity

Wagle, Pratik; Saffer, Alexander; Yunes, Nicolás

doi:10.1103/physrevd.100.124007

Cited by 31 publications

(23 citation statements)

References 44 publications

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“…In certain modified theories, a graviton can propagate with up to six polarizations, thereby leaving no residual gauge freedom. However, for the case of dCS gravity, GWs continue to propagate with only two polarizations (as measured at future null infinity) [54,55], and thus, one retains enough gauge freedom to impose the Regge-Wheeler gauge. Such a decomposition separates the axial and polar perturbations with different harmonic index ℓ, i.e., for a given ℓ, we have two systems of evolution equations, one for the axial sector and one for the polar sector.…”

Section: Black Hole Perturbation Theory a Decomposition Of The Fundam...mentioning

confidence: 99%

Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity

Wagle,

Yunes,

Silva

2021

Preprint

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The detection of gravitational waves from compact binary mergers by the LIGO/Virgo collaboration has, for the first time, allowed us to test relativistic gravity in its strong, dynamical and nonlinear regime, thus opening a new arena to confront general relativity (and modifications thereof) against observations. We consider a theory which modifies general relativity by introducing a scalar field coupled to a parity-violating curvature term known as dynamical Chern-Simons gravity. In this theory, spinning black holes are different from their general relativistic counterparts and can thus serve as probes to this theory. We study linear gravito-scalar perturbations of black holes in dynamical Chern-Simons gravity at leading-order in spin and (i) obtain the perturbed field equations describing the evolution of the perturbed gravitational and scalar fields, (ii) numerically solve these equations by direct integration to calculate the quasinormal mode frequencies for the dominant and higher multipoles and tabulate them, (iii) find strong evidence that these rotating black holes are linearly stable, and (iv) present general fitting functions for different multipoles for gravitational and scalar quasinormal mode frequencies in terms of spin and Chern-Simons coupling parameter. Our results can be used to validate the ringdown of small-spin remnants of numerical relativity simulations of black hole binaries in dynamical Chern-Simons gravity and pave the way towards future tests of this theory with gravitational wave ringdown observations.

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Section: Black Hole Perturbation Theory a Decomposition Of The Fundam...mentioning

confidence: 99%

Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity

Wagle,

Yunes,

Silva

2021

Preprint

Self Cite

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“…where A ψ and A µ are the amplitudes, while k µ andk ν represent the wave-vcectors. From Equations (23), (26), and (28), one also concludes that the transverse-traceless part h µν , vector perturbation φ (1)µ , and scalar perturbation ψ propogate at the speed of light [54].…”

Section: Linearized Field Equationsmentioning

confidence: 88%

“…Since the resultant SET is averaged, one may utilize the integration by parts to eliminate the boundary terms. Furthermore, by plugging in the equation of motion of the first order perturbations, Equations (23), (26), and (28), while imposing the transverse-traceless gauge for h µν , one finds (50) In particular, if the vector (φ µ ) and scalar (µ) fields vanish, it is readily to show that the action Equation (2) falls back to the Brans-Dicke theory by redefiningφ = 1/G. Also, the result given by Equation 50is consistent with the GW SET of Brans-Dicke theory in [39,62].…”

Section: The Stress-energy Pseudo-tensormentioning

confidence: 99%

“…On the theoretical side, several methods can be employed to analyze the polarization modes of gravity theory. Among others, one commonly employed approach is to study the polarization of weak, plane, and null GWs by using Newman-Penrose (NP) formalism [8,12,[24][25][26][27][28]. Another method consists of reducing the metric into irreducible components and rewriting the linearized gravitational equations into the independent scalar, vector, and tensorial parts [29,30].…”

Section: Introductionmentioning

confidence: 99%

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Gravitational Waves in Scalar–Tensor–Vector Gravity Theory

et al. 2021

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In this paper, we study the properties of gravitational waves in the scalar–tensor–vector gravity theory. The polarizations of the gravitational waves are investigated by analyzing the relative motion of the test particles. It is found that the interaction between the matter and vector field in the theory leads to two additional transverse polarization modes. By making use of the polarization content, the stress-energy pseudo-tensor is calculated by employing the perturbed equation method. Additionally, the relaxed field equation for the modified gravity in question is derived by using the Landau–Lifshitz formalism suitable to systems with non-negligible self-gravity.

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“…We have known the polarization modes of gravitational waves predicted by some modified gravities, like Brans-Dicke, f (R), Horndeski, Einstein-ather, TeVeS, Horava, STVG, f (T ), dCS and EdGB theory [6,[14][15][16][17][18][19][20]. In these studies, the Newman-Penrose formalism was often used in the case of plane gravitational waves propagating at the speed of light [6,21].…”

Section: Introductionmentioning

confidence: 99%

Polarization Modes of Gravitational Waves in Palatini Horndeski theory

Dong,

Liu

2021

Preprint

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In this paper, the polarization modes of gravitational waves in Horndeski gravity are studied under the Palatini formalism. After obtaining the linearized equation of perturbations in Minkowski background, we find that the polarization modes of gravitational waves depend on the selection of the theoretical parameters. The polarization modes can be divided into quite rich cases by parameters. In all cases of parameter selection, there are + and × modes propagating at the speed of light but no vector modes. The only difference from general relativity is scalar modes, especially the scalar degrees of freedom can be 0, 1 or 2 in different cases. The appropriate parameter cases can be expected to be selected in the detection of gravitational wave polarization modes by Lisa, Taiji and TianQin in the future.

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Polarization modes of gravitational waves in quadratic gravity

Cited by 31 publications

References 44 publications

Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity

Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity

Gravitational Waves in Scalar–Tensor–Vector Gravity Theory

Polarization Modes of Gravitational Waves in Palatini Horndeski theory

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