Search results for "Metric signature"

showing 2 items of 2 documents

An intrinsic characterization of the Schwarzschild metric

1998

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.

PhysicsGeneral Relativity and Quantum CosmologyPhysics and Astronomy (miscellaneous)Schwarzschild coordinatesMetric signatureSchwarzschild geodesicsKerr metricSchwarzschild metricDeriving the Schwarzschild solutionMetric tensor (general relativity)Mathematical physicsIntrinsic metricClassical and Quantum Gravity
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Comments on space–time signature

1993

In terms of three signs associated to two vectors and to a 2-plane, a formula for the signature of any four-dimensional metric is given. In the process, a simple expression for the sign of the Lorentzian metric signature is obtained. The rela- tionship between these results and those already known are commented upon.

Pure mathematicsFísica matemàticaSpace timeMathematical analysisStatistical and Nonlinear PhysicsExpression (computer science)Metric signatureDifferential geometrySimple (abstract algebra)Metric (mathematics)Espai i tempsSignature (topology)Mathematical PhysicsSign (mathematics)MathematicsJournal of Mathematical Physics
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