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Geodesic motion in Bogoslovsky-Finsler spacetimes
Abstract : We study the free motion of a massive particle moving in the background of a Finslerian deformation of a plane gravitational wave in Einstein’s general relativity. The deformation is a curved version of a one-parameter family of relativistic Finsler structures introduced by Bogoslovsky, which are invariant under a certain deformation of Cohen and Glashow’s very special relativity group ISIM(2). The partially broken Carroll symmetry we derive using Baldwin-Jeffery-Rosen coordinates allows us to integrate the geodesics equations. The transverse coordinates of timelike Finsler geodesics are identical to those of the underlying plane gravitational wave for any value of the Bogoslovsky-Finsler parameter b. We then replace the underlying plane gravitational wave with a homogeneous pp-wave solution of the Einstein-Maxwell equations. We conclude by extending the theory to the Finsler-Friedmann-Lemaître model.
Keywords :
Robertson-Walker
algebra: Lie
Einstein
group theory
curvature
space-time
family
Finsler
pp-wave
geodesic
structure
transverse
background
gravitation
general relativity
special relativity
deformation
particle: massive
Einstein-Maxwell equation: solution
gravitational radiation: plane wave
alternative theories of gravity
group: Lie
General relativity
https://hal.archives-ouvertes.fr/hal-02550046
Contributor : Inspire Hep Connect in order to contact the contributor
Submitted on : Tuesday, April 21, 2020 - 10:16:57 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:35 PM
Contributor : Inspire Hep Connect in order to contact the contributor
Submitted on : Tuesday, April 21, 2020 - 10:16:57 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:35 PM
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