Gravitational radiation in quadratic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity

Näf, Joachim; Jetzer, Philippe

doi:10.1103/physrevd.84.024027

Cited by 32 publications

(32 citation statements)

References 16 publications

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“…8 One could also consider gravitational radiation from binary pulsars as a potential discriminant between GR and modified gravity [44]. It has been shown in [45] that an application of fðRÞ ¼ R þ R 2 to the gravitational radiation of a hypothetical binary pulsar system requires that < 1:7 Â 10 17 m 2 , under the assumption that the dipole power accounts for at most 1% of the quadrupole power. However, as we shall see in the following section, consistent application of the perturbative method means that we must restrict to values & 10 6 m 2 .…”

Section: Parametersmentioning

confidence: 99%

Modified gravity with logarithmic curvature corrections and the structure of relativistic stars

Alavirad

Weller

2013

Phys. Rev. D

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We consider the effect of a logarithmic fðRÞ theory, motivated by the form of the one-loop effective action arising from gluons in curved spacetime, on the structure of relativistic stars. In addition to analyzing the consistency constraints on the potential of the scalar degree of freedom, we discuss the possibility of observational features arising from a fifth force in the vicinity of the neutron star surface. We find that the model exhibits a chameleon effect that completely suppresses the effect of the modification on scales exceeding a few radii, but close to the surface of the neutron star, the deviation from general relativity can significantly affect the surface redshift that determines the shift in absorption (or emission) lines. We also use the method of perturbative constraints to solve the modified Tolman-Oppenheimer-Volkov equations for normal and self-bound neutron stars (quark stars).

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Section: Parametersmentioning

confidence: 99%

Modified gravity with logarithmic curvature corrections and the structure of relativistic stars

Alavirad

Weller

2013

Phys. Rev. D

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“…Particularly interesting are the questions about the number of polarization modes of gravitational waves and their corresponding propagation velocities. The case of f (R) gravity is well-understood and it has been shown that these theories all possess an additional massive scalar gravitational wave mode [20][21][22][23] compared to GR.…”

Section: Introductionmentioning

confidence: 99%

Propagation of gravitational waves in teleparallel gravity theories

et al. 2018

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We investigate propagation of gravitational waves in the most general teleparallel gravity model with second order field equations around the Minkowski background. We argue that in this case the most general Lagrangian at the first order of perturbations is given by the linear combination of quadratic invariants and hence coincide with the well-known new general relativity model. We derive the linearized field equations and analyze them using the principal polynomial and the Newman-Penrose formalism. We demonstrate that all gravitational waves modes propagate at the speed of light and there are up to six possible polarizations. We show that two tensorial modes of general relativity are always present and the number of extra polarizations depends on the free parameters of the new general relativity model.

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“…151 w The computation of the gravitation radiation has been done for different choices of the f (R) function; see for instance. 80,87,156…”

Section: Gravitational Wavesmentioning

confidence: 99%

Astrophysical Constraints on Strong Modified Gravity

Pérez

Romero

2020

Topics on Strong Gravity

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We offer a discussion on the strong field regime predictions of two families of theories that deviate from General Relativity in different aspects: f (R)-gravity and Scalar-Tensor-Vector Gravity (STVG). We discuss astrophysical effects in models based upon both matter and vacuum solutions of such theories. In particular, we analize neutron star structure and the constraints on the parameters of the theories introduced by the latest observations. We also review black hole solutions and several astrophysical consequences of them, including accretion disks and jets. Finally, we report on the implications of the detection of various gravitational wave events for these theories.

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Gravitational radiation in quadraticf(R)gravity

Cited by 32 publications

References 16 publications

Modified gravity with logarithmic curvature corrections and the structure of relativistic stars

Modified gravity with logarithmic curvature corrections and the structure of relativistic stars

Propagation of gravitational waves in teleparallel gravity theories

Astrophysical Constraints on Strong Modified Gravity

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