6533b821fe1ef96bd127b701

RESEARCH PRODUCT

An intrinsic characterization of the Schwarzschild metric

Juan Antonio SáezJoan Josep Ferrando

subject

PhysicsGeneral Relativity and Quantum CosmologyPhysics and Astronomy (miscellaneous)Schwarzschild coordinatesMetric signatureSchwarzschild geodesicsKerr metricSchwarzschild metricDeriving the Schwarzschild solutionMetric tensor (general relativity)Mathematical physicsIntrinsic metric

description

An intrinsic algorithm that exclusively involves conditions on the metric tensor and its differential concomitants is presented to identify every type-D static vacuum solution. In particular, the necessary and sufficient explicit and intrinsic conditions are given for a Lorentzian metric to be the Schwarzschild solution.

https://doi.org/10.1088/0264-9381/15/5/014