Finsler gravitational waves of $(\alpha ,\beta )$-type and their observational signature

Abstract

We introduce a new class of $(\alpha ,\beta )$-type exact solutions in Finsler gravity closely related to the well-known pp-waves in general relativity. Our class contains most of the exact solutions currently known in the literature as special cases. The linearized versions of these solutions may be interpretted as Finslerian gravitational waves, and we investigate the physical effect of such waves. More precisely, we compute the Finslerian correction to the radar distance along an nterferometer arm at the moment a Finslerian gravitational wave passes a detector. We come to the remarkable conclusion that the effect of a Finslerian gravitational wave on an interferometer is indistinguishable from that of standard gravitational wave in general relativity. Along the way we also physically motivate a modification of the Randers metric and prove that it has some very interesting properties.

References in corpus (35)

• Modern tests of Lorentz invariance
• Quantum Spacetime Phenomenology
• Planck-scale modified dispersion relations and Finsler geometry
• Finsler geometric extension of Einstein gravity
• The General Very Special Relativity in Finsler Cosmology
• Homogeneous Plane Waves
• Causal structure and electrodynamics on Finsler spacetimes
• Finsler gravity action from variational completion
• Observable effects in a class of spherically symmetric static Finsler spacetimes
• Realization of DSR-relativistic symmetries in Finsler geometries
• On the definition and examples of cones and Finsler spacetimes
• Geometry of physical dispersion relations
• Finsler geometry as a model for relativistic gravity
• Modified Friedmann model in Randers-Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis
• Holonomy groups and spacetimes
• Investigation on Finsler geometry as a generalization to curved spacetime of Planck-scale-deformed relativity in the de Sitter case
• Finsler pp-waves
• Berwald spacetimes and very special relativity
• Deformed relativity symmetries and the local structure of spacetime
• Finsler metrics and relativistic spacetimes
• Foundations of Finsler spacetimes from the Observers' Viewpoint
• The connections of pseudo-Finsler spaces
• Modified Einstein and Finsler Like Theories on Tangent Lorentz Bundles
• On the round-trip time for a photon propagating in the field of a plane gravitational wave
• On the non metrizability of Berwald Finsler spacetimes
• On the radar method in general-relativistic spacetimes
• Radar orthogonality and radar length in Finsler and metric spacetime geometry
• Observers' measurements in premetric electrodynamics I: Time and radar length
• Randers pp-waves
• Canonical variational completion of differential equations
• Killing-Yano Tensors of Order n-1
• Identifying Berwald Finsler Geometries
• A Cosmological Unicorn Solution to Finsler Gravity
• Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces
• The Finsler spacetime condition for (α,β)-metrics and their isometries

Cited by in corpus (7)

• A Cosmological Unicorn Solution to Finsler Gravity
• The Finsler spacetime condition for (α,β)-metrics and their isometries
• Cosmological Landsberg Finsler spacetimes
• Berwald $m$-Kropina Spaces of Arbitrary Signature: Metrizability and Ricci-Flatness
• Birkhoff Theorem for Berwald Finsler spacetimes
• Finslerian geometrodynamics
• Einstein-Kropina Metrics and Their Application in Finsler Gravity