A Finsler generalisation of Einstein's vacuum field equations

Rutz, Solange F.

doi:10.1007/bf00763757

Cited by 89 publications

(106 citation statements)

References 8 publications

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“…There are types of gravitational field equation in Finsler spacetime [33][34][35][36][37][38][39][40]. These gravitational field equations are not equivalent to each other.…”

Section: Gravitational Wave In Flat Finsler Spacetimementioning

confidence: 99%

Primordial power spectrum of tensor perturbations in Finsler spacetime

Wang

2016

Eur. Phys. J. C

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We first investigate the gravitational wave in the flat Finsler spacetime. In the Finslerian universe, we derive the perturbed gravitational field equation with tensor perturbations. The Finslerian background spacetime breaks rotational symmetry and induces parity violation. Then we obtain the modified primordial power spectrum of the tensor perturbations. The parity violation feature requires that the anisotropic effect contributes to the T

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“…There are types of gravitational field equation in Finsler spacetime [33][34][35][36][37][38][39][40]. These gravitational field equations are not equivalent to each other.…”

Section: Gravitational Wave In Flat Finsler Spacetimementioning

confidence: 99%

Primordial power spectrum of tensor perturbations in Finsler spacetime

Wang

2016

Eur. Phys. J. C

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“…Here, we have used the fact that the Riemannian length α = 0 for massless particle to deduce the equation (27). And, we have used the fact that the velocity of non-relativistic particles can be regarded as a first order quantity to deduce the equation (28).…”

Section: B Geodesic Equations In Rander-finsler Spacetimementioning

confidence: 99%

“…There are many types of gravitational field equation in Finsler spacetime [27][28][29][30]. And these equations do not equal to each other.…”

Section: Conclusion and Remarksmentioning

confidence: 99%

Finslerian Perturbation for the λCDM Model

Li¹,

Wang²,

Chang³

2014

Commun. Theor. Phys.

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We present Finslerian perturbation for the ΛCDM model, which breaks the isotropic symmetry of where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.

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“…For more recent investigations in this direction, one may see S.F. Rutz [41], T. Budden [9], G.S. Asanov [3,4], R.G.…”

Section: Introductionmentioning

confidence: 98%

Gravity as a Finslerian Metric Phenomenon

Barletta

Dragomir

2011

Found Phys

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We give a description of the effect of the gravitational field by using the geodesic equation of motion with respect to a first order Finslerian approximation of the Minkowski metric. This motivates linking the physical force of gravity to the non flat nature of space in the Finslerian setting and leads to an anisotropic version of the red shift formula. We solve the linearized Finslerian field equations proposed by S.F. Rutz (Gen.

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A Finsler generalisation of Einstein's vacuum field equations

Cited by 89 publications

References 8 publications

Primordial power spectrum of tensor perturbations in Finsler spacetime

Primordial power spectrum of tensor perturbations in Finsler spacetime

Finslerian Perturbation for the λCDM Model

Gravity as a Finslerian Metric Phenomenon

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