Schwarzschild metric (if charge and angular momentum are zero)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	metric tensor exact solution of Einstein field equations
gptkbp:appliesTo	black holes stars planets
gptkbp:assumes	spherical symmetry no electric charge no angular momentum vacuum outside mass
gptkbp:describes	spacetime geometry outside a spherically symmetric, non-rotating, uncharged mass
gptkbp:dimensions	4
gptkbp:discoveredIn	1916
gptkbp:expressedIn	gptkb:Schwarzschild_coordinates
gptkbp:generalizes	gptkb:Kerr–Newman_metric gptkb:Kerr_metric gptkb:Reissner–Nordström_metric
gptkbp:hasCoordinateSingularityAt	gptkb:Schwarzschild_radius
gptkbp:hasEventHorizonAt	gptkb:Schwarzschild_radius
gptkbp:hasLineElement	ds² = -(1-2GM/rc²)c²dt² + (1-2GM/rc²)⁻¹dr² + r²dΩ²
gptkbp:hasSingularityAt	r = 0
https://www.w3.org/2000/01/rdf-schema#label	Schwarzschild metric (if charge and angular momentum are zero)
gptkbp:isAsymptoticallyFlat	true
gptkbp:isVacuumSolution	true
gptkbp:namedAfter	gptkb:Karl_Schwarzschild
gptkbp:reduces	Minkowski metric at infinity
gptkbp:signature	(-,+,+,+)
gptkbp:solvedBy	gptkb:Einstein_field_equations
gptkbp:staticMethod	true
gptkbp:usedFor	calculating gravitational lensing modeling non-rotating black holes studying orbits in strong gravity
gptkbp:usedIn	gptkb:gravitational_time_dilation gptkb:perihelion_precession_of_Mercury gravitational redshift tests of general relativity deflection of light by gravity
gptkbp:bfsParent	gptkb:Kerr–Newman_metric
gptkbp:bfsLayer	6