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gptkbp:instanceOf
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gptkb:logic
solution to Einstein field equations
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gptkbp:appliesTo
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non-rotating uncharged spherically symmetric mass
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gptkbp:describedBy
|
gptkb:gravitational_time_dilation
black holes
gravitational redshift
light bending
orbital precession
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gptkbp:describes
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spacetime geometry outside a spherical mass
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gptkbp:expressedInCoordinates
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gptkb:Schwarzschild_coordinates
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gptkbp:generalizes
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gptkb:Kerr–Newman_metric
gptkb:Kerr_metric
gptkb:Reissner–Nordström_metric
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gptkbp:hasEventHorizon
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gptkb:Schwarzschild_radius
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gptkbp:hasEventHorizonAt
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r = 2GM/c^2
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gptkbp:hasLineElement
|
ds^2 = -(1-2GM/rc^2)c^2dt^2 + (1-2GM/rc^2)^{-1}dr^2 + r^2(dθ^2 + sin^2θ dφ^2)
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gptkbp:hasNoCharge
|
true
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gptkbp:hasNoRotation
|
true
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gptkbp:hasSingularityAt
|
r = 0
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gptkbp:hasType
|
exact solution
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gptkbp:isAsymptoticallyFlat
|
true
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gptkbp:isSphericallySymmetric
|
true
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gptkbp:isVacuumSolution
|
true
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gptkbp:namedAfter
|
gptkb:Karl_Schwarzschild
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gptkbp:publishedIn
|
1916
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gptkbp:relatedTo
|
gptkb:Birkhoff's_theorem
gptkb:Schwarzschild_radius
gptkb:Schwarzschild_black_hole
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gptkbp:signature
|
(-,+,+,+)
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gptkbp:solvedBy
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gptkb:Einstein_field_equations_in_vacuum
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gptkbp:staticMethod
|
true
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gptkbp:usedIn
|
gptkb:cosmology
gptkb:general_relativity
astrophysics
tests of general relativity
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gptkbp:bfsParent
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gptkb:Einstein_field_equations
gptkb:Oppenheimer–Snyder_model
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gptkbp:bfsLayer
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4
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