Gravitational waves in non-local gravity

Capozziello, Salvatore; Capriolo, Maurizio

doi:10.1088/1361-6382/ac1720

Cited by 30 publications

(19 citation statements)

References 52 publications

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“…The same authors also highlight a modification in the propagation equations for Gravitational Waves (GWs), which provides a powerful way for testing deviations to GR with future third generation GW interferometers. See also [30,31].…”

Section: The Modelmentioning

confidence: 99%

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Testing non-local gravity by clusters of galaxies

Bouchè,

Capozziello,

Salzano

et al. 2022

Preprint

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Extended theories of gravity have been extensively investigated during the last thirty years, aiming at fixing infrared and ultraviolet shortcomings of General Relativity and of the associated ΛCDM cosmological model. Recently, non-local theories of gravity have drawn increasing attention due to their potential to ameliorate both the ultraviolet and infrared behavior of gravitational interaction. In particular, Integral Kernel theories of Gravity provide a viable mechanism to explain the late time cosmic acceleration so as to avoid the introduction of any form of unknown dark energy. On the other hand, these models represent a natural link towards quantum gravity. Here, we study a scalar-tensor equivalent model of General Relativity corrected with non-local terms, where corrections are selected by the existence of Noether symmetries. After performing the weak field limit and generalizing the results to extended mass distributions, we analyse the non-local model at galaxy cluster scales, by comparing the theoretical predictions with gravitational lensing observations from the CLASH program. We obtain agreement with data at the same level of statistical significance as General Relativity. We also provide constraints for the Navarro-Frenk-White parameters and lower bounds for the non-local length scales. The results are finally compared with those from the literature.

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Section: The Modelmentioning

confidence: 99%

“…Due to its integral nature, this class of terms gives rise to long range non-localities, which can fix the IR shortcomings of GR [28][29][30][31]. Interesting IKG models have been proposed in [32,33].…”

Section: Introductionmentioning

confidence: 99%

Testing non-local gravity by clusters of galaxies

Bouchè,

Capozziello,

Salzano

et al. 2022

Preprint

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“…In this particular case, the gravitational part of the action Eq. ( 7) takes the following form [29]…”

Section: The Degenerate Case N=1mentioning

confidence: 99%

Gravitational radiation in higher order non-local gravity

Capriolo

2022

Preprint

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In this paper we examine gravitational radiation in higher order non-local gravity described by the non-local gravitational Lagrangian density Lg = R + n h=1 a h R −h R. This non-local theory of gravitation always exhibits the tensor transverse gravitational radiation for k 2 1 = 0, corresponding to the angular frequency ω1, composed of two standard (+) and (×) polarization modes, massless and of helicity 2. Furthermore, it shows, under suitable constraint and n ≥ 2, an additional massive transverse scalar gravitational radiation with helicity 0. It is composed of n − 1 modes associated to n − 1 angular frequencies ω2, . . . , ωn, each of which of breathing polarization (b) to lowest order in γ, a parameter that takes into account the difference in speed between the slightly massive wave and the massless one. Thanks to NP formalism, we find that the E(2) class of non-local gravitational waves is N3, according Petrov classification, where the presence or absence of all modes are observer independent. Also, the scalar radiation is forbidden for n = 1 and n = 2 cases, when some conditions are satisfied. Finally, in −1 gravity where n = 1, a possible degenerate case with a continuous infinity of transverse massive scalar breathing modes appears under a particular constraint, which reproduces in two-dimensional spacetime the Polyakov effective action.

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“…In the references [96][97][98], the authors studied the dynamics of the non-local theory and its Newtonian limit. See also [99,100] for a discussion.…”

Section: Non-local Gravity Modelmentioning

confidence: 99%

Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star

et al. 2021

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After giving a short overview of previous results on constraining of Extended Gravity by stellar orbits, we discuss the Schwarzschild orbital precession of S2 star assuming the congruence with predictions of General Relativity (GR). At the moment, the S2 star trajectory is remarkably fitted with the first post-Newtonian approximation of GR. In particular, both Keck and VLT (GRAVITY) teams declared that the gravitational redshift near its pericenter passage for the S2 star orbit corresponds to theoretical estimates found with the first post-Newtonian (pN) approximation. In 2020, the GRAVITY Collaboration detected the orbital precession of the S2 star around the supermassive black hole (SMBH) at the Galactic Center and showed that it is close to the GR prediction. Based on this observational fact, we evaluated parameters of the Extended Gravity theories with the Schwarzschild precession of the S2 star. Using the mentioned method, we estimate the orbital precession angles for some Extended Gravity models including power-law f(R), general Yukawa-like corrections, scalar–tensor gravity, and non-local gravity theories formulated in both metric and Palatini formalism. In this consideration, we assume that a gravitational field is spherically symmetric, therefore, alternative theories of gravity could be described only with a few parameters. Specifically, considering the orbital precession, we estimate the range of parameters of these Extended Gravity models for which the orbital precession is like in GR. Then we compare these results with our previous results, which were obtained by fitting the simulated orbits of S2 star to its observed astrometric positions. In case of power-law f(R), generic Yukawa-like correction, scalar–tensor gravity and non-local gravity theories, we were able to obtain a prograde orbital precession, like in GR. According to these results, the method is a useful tool to evaluate parameters of the gravitational potential at the Galactic Center.

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Gravitational waves in non-local gravity

Cited by 30 publications

References 52 publications

Testing non-local gravity by clusters of galaxies

Testing non-local gravity by clusters of galaxies

Gravitational radiation in higher order non-local gravity

Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star

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