What do we know about Lorentz invariance?

Tasson, J. D.

doi:10.1088/0034-4885/77/6/062901

Cited by 184 publications

(187 citation statements)

References 327 publications

(300 reference statements)

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“…The possibility to break local Lorentz invariance found great interest in the gravity community recently [3,12,13,21,47,48,[75][76][77][78]. Theoretically, it is mainly driven by the attempts to quantize the gravitational interaction.…”

Section: Local Lorentz Invariancementioning

confidence: 99%

Tests of gravitational symmetries with radio pulsars

Shao

Wex

2016

Sci. China Phys. Mech. Astron.

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Symmetries play important roles in modern theories of physical laws. In this paper, we review several experimental tests of important symmetries associated with the gravitational interaction, including the universality of free fall for self-gravitating bodies, time-shift symmetry in the gravitational constant, local position invariance and local Lorentz invariance of gravity, and spacetime translational symmetries. Recent experimental explorations for post-Newtonian gravity are discussed, of which, those from pulsar astronomy are highlighted. All of these tests, of very different aspects of gravity theories, at very different length scales, favor to very high precision the predictions of the strong equivalence principle (SEP) and, in particular, general relativity which embodies SEP completely. As the founding principles of gravity, these symmetries are motivated to be promoted to even stricter tests in future.Comment: 23 pages, 9 figures. Invited review article, minor modifications to match published versio

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Section: Local Lorentz Invariancementioning

confidence: 99%

Tests of gravitational symmetries with radio pulsars

Shao

Wex

2016

Sci. China Phys. Mech. Astron.

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“…Furthermore, they represent a well-defined physical framework (existence of a preferred time direction) and have an interesting phenomenology. Other possibilities include those studying preferred spatial directions [1], a direct breaking of the Poincaré group [2], or the generic description inspired by the standard model extension of particle physics [3,4].…”

Section: Introductionmentioning

confidence: 99%

Phenomenology of theories of gravity without Lorentz invariance: The preferred frame case

Blas

Lim

2014

Int. J. Mod. Phys. D

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“…It is interesting to note some of them, first, the possibility of rotation of the Universe is treated as a rather interesting idea within the cosmological context [34], second, the rotation of the Universe would imply in the presence of the privileged space-time direction, that is, the rotation axis, which clearly signalizes the possibility of the Lorentz symmetry breaking, which makes studies of Lorentz-breaking theories, and, especially, the Lorentz-breaking gravity, to be extremely important. Some results in this direction are presented in [35].…”

Section: Discussionmentioning

confidence: 99%

Gödel-type solutions within the f(R,Q) gravity

et al. 2017

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In this paper, we deal with the f (R, Q) gravity whose action depends, besides of the scalar curvature R, on the higher-derivative invariant Q = R µν R µν . In order to compare this theory with the usual General Relativity (GR), we verify the consistency of Gödel-type solutions within the f (R, Q) gravity and discuss the related causality issues. Explicitly, we show that in the f (R, Q) gravity there are new Gödel-type completely causal solutions having no analogue in the general relativity. In particular, a remarkable Gödel-type solution corresponding to the conformally flat space and maximally symmetric for physically wellmotivated matter sources, with no necessity of cosmological constant, has been considered.We demonstrate that, in contrast to GR framework, f (R, Q) gravity supports new vacuum solutions with the requirement for the cosmological constant to be non-zero. Finally, causal solutions are obtained for a particular choice f (R, Q) = R + αR 2 + βQ. I. INTRODUCTIONThe GR is known to be the successful theory of gravity, its predictions are in accordance with tests realized in solar system, the so-called classical tests, for example, the precession of the perihelion of Mercury, as well as with the recent detection of gravitational waves [1][2][3]. Nonetheless, it turns out that the Einstein gravity fails in some aspects, which leads to interest to search for its possible consistent generalizations. Basically, there are two main problems having no solution within the framework of the GR: the first one takes place on a phenomenological perspective that arises as one of the most enigmatic problems in physics, the accelerated expansion of the Universe.It is confirmed by observational data from Type Ia supernovae [4][5][6], from cosmic microwave background (CMB) measurements [7][8][9] and studies of large structures [10,11]. The second reason, purely theoretical, is related to issues on quantization of gravity, since, as it is well known, the * Electronic address:

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What do we know about Lorentz invariance?

Cited by 184 publications

References 327 publications

Tests of gravitational symmetries with radio pulsars

Tests of gravitational symmetries with radio pulsars

Phenomenology of theories of gravity without Lorentz invariance: The preferred frame case

Gödel-type solutions within the f(R,Q) gravity

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