Schwarzschild metric (when charge is zero)

URI: https://gptkb.org/entity/Schwarzschild_metric_(when_charge_is_zero)

GPTKB entity

Statements (50)

Predicate	Object
gptkbp:instanceOf	solution to Einstein field equations spacetime metric
gptkbp:appliesTo	black holes stars planets
gptkbp:coordinates	gptkb:Schwarzschild_coordinates
gptkbp:describes	gptkb:Schwarzschild_black_hole gptkb:gravitational_time_dilation gptkb:perihelion_precession_of_Mercury gptkb:Shapiro_time_delay gptkb:innermost_stable_circular_orbit_(ISCO) gptkb:photon_sphere gravitational collapse event horizon gravitational redshift singularity deflection of light by gravity gravitational field outside a spherically symmetric, non-rotating, uncharged mass coordinate time for distant observer escape velocity from massive objects geodesics in curved spacetime proper time for infalling observer
gptkbp:hasApplication	gptkb:cosmology astrophysics gravitational lensing orbital mechanics
gptkbp:hasEventHorizon	gptkb:Schwarzschild_radius
gptkbp:hasEventHorizonAt	r = 2GM/c^2
gptkbp:hasNoAngularMomentum	true
gptkbp:hasNoElectricCharge	true
gptkbp:hasNoMagneticField	true
gptkbp:hasSingularityAt	r = 0
gptkbp:hasSpecialCase	gptkb:Reissner–Nordström_metric gptkb:Kerr_metric_(when_angular_momentum_is_zero)
https://www.w3.org/2000/01/rdf-schema#label	Schwarzschild metric (when charge is zero)
gptkbp:isAsymptoticallyFlat	true
gptkbp:isExactSolution	true
gptkbp:isLorentzianManifold	true
gptkbp:isNonRotating	true
gptkbp:isSphericallySymmetric	true
gptkbp:isTimeIndependent	true
gptkbp:isUncharged	true
gptkbp:isVacuumSolution	true
gptkbp:metricTensor	ds^2 = -(1-2GM/rc^2)c^2dt^2 + (1-2GM/rc^2)^{-1}dr^2 + r^2(dθ^2 + sin^2θ dφ^2)
gptkbp:namedAfter	gptkb:Karl_Schwarzschild
gptkbp:publishedIn	1916
gptkbp:staticMethod	true
gptkbp:usedIn	gptkb:general_relativity
gptkbp:bfsParent	gptkb:Reissner–Nordström_metric
gptkbp:bfsLayer	5