On the Analyticity of Static Solutions of a Field Equation in Finsler Gravity
Erasmo Caponio, Antonio Masiello
Abstract
It is well-known that static vacuum solutions of Einstein equations are analytic in suitable coordinates. We ask here for an extension of this result in the context of Finsler gravity. We consider Finsler spacetimes that retain several properties of static Lorentzian spacetimes, are Berwald and have vanishing Ricci scalar.
Topics & Concepts
PhysicsEinsteinExtension (predicate logic)Context (archaeology)Field equationMathematical physicsField (mathematics)Classical mechanicsGravitational fieldEinstein field equationsf(R) gravityGeneral relativityLinearized gravityMetric (unit)GravitationEinstein equationsCosmologyEinstein's constantMathematical analysisGravitoelectromagnetismInitial value problemAdvanced Differential Geometry ResearchGeometric Analysis and Curvature FlowsNoncommutative and Quantum Gravity Theories