Lorentz violation in the linearized gravity

Ferrari, A. F.; Gomes, M.; Nascimento, J. R.; Passos, E.; Petrov, A. Yu.; Silva, A.J. da

doi:10.1016/j.physletb.2007.07.013

Cited by 75 publications

(82 citation statements)

References 38 publications

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“…Based on this, we will obtain a modified theory of gravity in weak gravity approximation and finally provide the equation of motion of primordial gravitational waves in this theory. Since the action of tensor perturbation in noncommutative field approach will break the Lorentz symmetry in local Minkowski spacetime which can be exhibited in the dispersion relation of gravitons [45], we can see the corresponding behaviour of gravitons in the the flat FRW universe background.…”

Section: B Quantization and Noncommutativitymentioning

confidence: 98%

Probing noncommutativity with inflationary gravitational waves

Cai

Piao

2007

Physics Letters B

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In this paper we study the behaviour of gravitational wave background (GWB) generated during inflation in the noncommutative field approach. From this approach we derive one additional term, and then we find that the dispersion relation of the gravitational wave would be modified and the primordial gravitational wave would obtain an effective mass. Therefore it breaks local Lorentz symmetry. Moreover, this additional term suppresses the energy spectrum of the GWB greatly at low energy scale where the wave length is near the current horizon. Due to this, a sharp peak is formed in the energy spectrum at the low frequency band. This peak should be a key criterion in detecting the spacetime noncommutativity and a critical test for Lorentz symmetry breaking in local field theory. PACS number(s): 98.80. Cq,

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Section: B Quantization and Noncommutativitymentioning

confidence: 98%

Probing noncommutativity with inflationary gravitational waves

Cai

Piao

2007

Physics Letters B

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“…Moreover, the reason for requiring further modification of the covariant Lagrangian and to present it in a non-covariant form "up to total space and time derivatives" [1] or make "some rearrangements" [7] is not given. Of course, it is not difficult to restore these integrations once we know the final result.…”

Section: Modificationsmentioning

confidence: 99%

“…Equation (11) in combination with L ΓΓ leads to a cancellation of some terms that are linear in the velocities, and results in Dirac's Lagrangian as used in [1,7] …”

Section: Modificationsmentioning

confidence: 99%

Analysis of the Hamiltonian formulations of linearized general relativity

2011

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The different forms of the Hamiltonian formulations of linearized General Relativity/spin-2 theories are discussed in order to show their similarities and differences. It is demonstrated that in the linear model, non-covariant modifications to the initial covariant Lagrangian (similar to those modifications used in full gravity) are in fact unnecessary. The Hamiltonians and the constraints are different in these two formulations but the structure of the constraint algebra and the gauge invariance derived from it are the same. It is shown that these equivalent Hamiltonian formulations are related to each other by a canonical transformation which is explicitly given. The relevance of these results to the full theory of General Relativity is briefly discussed.

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“…Possible effects of Lorentz symmetry violation have been investigated in many contexts, for example, the Casimir effect [8][9][10][11], QED [12][13][14][15][16], hydrogen atom [17,18], noncommutative field theories [19][20][21], space-times with a non-trivial topology [22], gravity theory [23][24][25][26][27][28], electromagnetic wave propagation [29][30][31][32], studies of photon field quantization [33][34][35], effects on the classical electrodynamics [36][37][38][39][40][41], among others.…”

Section: Introductionmentioning

confidence: 99%

A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

Borges

Barone

2017

Eur. Phys. J. C

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In this paper we consider a model which exhibits explicit Lorentz symmetry breaking due to the presence of a single background vector v μ coupled to the gauge field. We investigate such a theory in the vicinity of a perfectly conducting plate for different configurations of v μ . First we consider no restrictions on the components of the background vector and we treat it perturbatively up to second order. Next, we treat v μ exactly for two special cases: the first one is when it has only components parallel to the plate, and the second one when it has a single component perpendicular to the plate. For all these configurations, the propagator for the gauge field and the interaction force between the plate and a point-like electric charge are computed. Surprisingly, it is shown that the image method is valid in our model and we argue that it is a non-trivial result. We show there arises a torque on the mirror with respect to its positioning in the background field when it interacts with a point-like charge. It is a new effect with no counterpart in theories with Lorentz symmetry in the presence of a perfect mirror.

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Lorentz violation in the linearized gravity

Abstract: We study some consequences of the introduction of a Lorentz-violating modification term in the linearized gravity, which leads to modified dispersion relations for gravitational waves in the vacuum. We also discuss possible mechanisms for the induction of such a term in the Lagrangian.

Cited by 75 publications

References 38 publications

Probing noncommutativity with inflationary gravitational waves

Probing noncommutativity with inflationary gravitational waves

Analysis of the Hamiltonian formulations of linearized general relativity

A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

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