A Cosmological Unicorn Solution to Finsler Gravity
arXiv:2306.00722 · doi:10.1103/PhysRevD.108.064051
Abstract
We present a new family of exact vacuum solutions to Pfeifer and Wohlfarth's field equation in Finsler gravity, consisting of Finsler metrics that are Landsbergian but not Berwaldian, also known as unicorns due to their rarity. Interestingly we find that these solutions have a physically viable light cone structure, even though in some cases the signature is not Lorentzian but positive definite. We furthermore find a promising analogy between our solutions and classical FLRW cosmology. One of our solutions in particular has cosmological symmetry, i.e. it is spatially homogeneous and isotropic, and it is additionally conformally flat, with the conformal factor depending only on the timelike coordinate. We show that this conformal factor can be interpreted as the scale factor, we compute it as a function of cosmological time, and we show that it corresponds to a linearly expanding (or contracting) Finsler universe.
References in corpus (27)
- Planck-scale modified dispersion relations and Finsler geometry
- Modified Gravity and Cosmology: An Update by the CANTATA Network
- Finsler geometric extension of Einstein gravity
- The General Very Special Relativity in Finsler Cosmology
- Finsler gravity action from variational completion
- Finsler spacetime geometry in Physics
- 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
- Cosmological Finsler Spacetimes
- Finsler pp-waves
- Berwald spacetimes and very special relativity
- Reaching the Planck scale with muon lifetime measurements
- Mathematical foundations for field theories on Finsler spacetimes
- Relativistic kinetic gases as direct sources of gravity
- 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 analyticity of static solutions of a field equation in Finsler gravity
- The kinetic gas universe
- 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
- Finsler gravitational waves of -type and their observational signature