The Cauchy problem for the <i>R</i>+<i>R</i>2 theories of gravity without torsion

Teyssandier, P.; Tourrenc, P.

doi:10.1063/1.525659

Cited by 317 publications

(339 citation statements)

References 13 publications

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“…(26) becomes identical to Eq. (24). There will also be a third equation coming from the variation with respect to g µν , which will determine M µλν ρ .…”

Section: Teleparallelism and Local Lorentz Invariancementioning

confidence: 99%

Generalizations of teleparallel gravity and local Lorentz symmetry

Sotiriou¹,

Li²,

Barrow³

2011

Phys. Rev. D

233

143

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The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We analyze the relation between teleparallelism and local Lorentz invariance. We show that generic modifications of the teleparallel equivalent to general relativity will not respect local Lorentz symmetry. We clarify the reasons for this and explain why the situation is different in general relativity. We give a prescription for constructing teleparallel equivalents for known theories. We also explicitly consider a recently proposed class of generalized teleparallel theories, called f (T ) theories of gravity, and show why restoring local Lorentz symmetry in such theories cannot lead to sensible dynamics, even if one gives up teleparallelism.

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“…(26) becomes identical to Eq. (24). There will also be a third equation coming from the variation with respect to g µν , which will determine M µλν ρ .…”

Section: Teleparallelism and Local Lorentz Invariancementioning

confidence: 99%

Generalizations of teleparallel gravity and local Lorentz symmetry

Sotiriou¹,

Li²,

Barrow³

2011

Phys. Rev. D

233

143

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“…gravity is equivalent to a scalar-tensor theory [23,24]. One varies the action to calculate the equations of motion,…”

Section: Gravitational Wave Polarizations In F (R) Gravitymentioning

confidence: 99%

“…for a GW with wave vectors given by Equation (24), and σ = G 4,φ 0 /G 4 (0). From this, it is found out that h µν excites the plus and the cross polarizations by setting ϕ = 0.…”

Section: Polarization Contentmentioning

confidence: 99%

“…Our analysis showed that the extra polarization state is the transverse breathing mode if the scalar field is massless, and it is a mix of the transverse breathing and the longitudinal modes if the scalar field is massive [21]. f (R) gravity [22] is equivalent to a scalar-tensor theory of gravity [23,24]. The equivalent scalar field is massive, and it excites both the longitudinal and transverse breathing modes [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

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The Polarizations of Gravitational Waves

Gong

Hou

2018

Universe

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Abstract:The gravitational wave provides a new method to examine General Relativity and its alternatives in the high speed, strong field regime. Alternative theories of gravity generally predict more polarizations than General Relativity, so it is important to study the polarization contents of theories of gravity to reveal the nature of gravity. In this talk, we analyze the polarization contents of Horndeski theory and f (R) gravity. We find out that in addition to the familiar plus and cross polarizations, a massless Horndeski theory predicts an extra transverse polarization, and there is a mix of pure longitudinal and transverse breathing polarizations in the massive Horndeski theory and f (R) gravity. It is possible to use pulsar timing arrays to detect the extra polarizations in these theories. We also point out that the classification of polarizations using Newman-Penrose variables cannot be applied to massive modes. It cannot be used to classify polarizations in Einstein-aether theory or generalized Tensor-Vector-Scalar (TeVeS) theory, either.

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“…The "Einstein frame versus Jordan frame" controversy started because some authors claimed that scalar-tensor gravity is unreliable in the Jordan frame, leading to the problem of negative kinetic energies [23,24,25]. On the other hand, the Einstein frame version of scalar-tensor gravity, which is obtained by the conformal rescaling of the metric [26,27,28,29] g ab = ϕg ab (1) and a nonlinear scalar field redefinition [26,28] …”

Section: Introductionmentioning

confidence: 99%

Gravitational wave astronomy: The definitive test for the “Einstein frame versus Jordan frame” controversy

Corda

2011

Astroparticle Physics

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The potential realization of a gravitational wave (GW) astronomy in next years is a great challenge for the scientific community. By giving a significant amount of new information, GWs will be a cornerstone for a better understanding of the universe and of the gravitational physics.In this paper the author shows that the GW astronomy will permit to solve a captivating issue of gravitation as it will be the definitive test for the famous "Einstein frame versus Jordan frame" controversy.In fact, we show that the motion of the test masses, i.e. the beam splitter and the mirror in the case of an interferometer, which is due to the scalar component of a GW, is different in the two frames. Thus, if a consistent GW astronomy will be realized, an eventual detection of signals of scalar GWs will permit to discriminate among the two frames. In this way, a direct evidence from observations will solve in an ultimate way the famous and long history of the "Einstein frame versus Jordan frame" controversy.

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The Cauchy problem for the R+R2 theories of gravity without torsion

Cited by 317 publications

References 13 publications

Generalizations of teleparallel gravity and local Lorentz symmetry

Generalizations of teleparallel gravity and local Lorentz symmetry

The Polarizations of Gravitational Waves

Gravitational wave astronomy: The definitive test for the “Einstein frame versus Jordan frame” controversy

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