Square Peg in a Circular Hole: Choosing the Right Ansatz for Isolated Black Holes in Generic Gravitational Theories
Yiqi Xie, Jun Zhang, Hector O. Silva, Claudia de Rham, Helvi Witek, Nicolás Yunes
Abstract
The metric of a spacetime can be greatly simplified if the spacetime is circular. We prove that in generic effective theories of gravity, the spacetime of a stationary, axisymmetric, and asymptotically flat solution must be circular if the solution can be obtained perturbatively from a solution in the general relativity limit. This result applies to a broad class of gravitational theories that include arbitrary scalars and vectors in their light sector, so long as their nonstandard kinetic terms and nonmininal couplings to gravity are treated perturbatively.
Topics & Concepts
SpacetimePhysicsAnsatzGeneral relativityGravitationLimit (mathematics)Square (algebra)Classical mechanicsTheoretical physicsBlack hole (networking)Metric (unit)Mathematical physicsQuantum mechanicsGeometryMathematical analysisMathematicsRouting (electronic design automation)Link-state routing protocolRouting protocolOperations managementComputer scienceEconomicsComputer networkCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories