Schwarzschild solution

GPTKB entity

Statements (47)
Predicate Object
gptkbp:instanceOf exact solution in general relativity
gptkbp:appliesTo black holes
stars
planets
gptkbp:assumes spherical symmetry
no electric charge
no rotation
vacuum outside mass
gptkbp:category gptkb:general_relativity
astrophysics
mathematical physics
gptkbp:contains gptkb:Schwarzschild_radius
event horizon
gptkbp:describes spacetime outside a spherically symmetric, non-rotating, uncharged mass
gptkbp:dimensions 4-dimensional spacetime
gptkbp:expressedIn gptkb:Schwarzschild_coordinates
gptkbp:generalizes gptkb:Kerr–Newman_solution
gptkb:Reissner–Nordström_solution
gptkb:Kerr_solution
gptkbp:hasEventHorizonAt r=2GM/c²
gptkbp:hasSingularityAt r=0
gptkbp:hasSpecialCase vacuum solution
https://www.w3.org/2000/01/rdf-schema#label Schwarzschild solution
gptkbp:includesMetric ds² = -(1-2GM/rc²)c²dt² + (1-2GM/rc²)⁻¹dr² + r²dΩ²
gptkbp:influenced tests of general relativity
GPS time correction
gravitational lensing studies
modern black hole theory
gptkbp:measures static
asymptotically flat
spherically symmetric
gptkbp:namedAfter gptkb:Karl_Schwarzschild
gptkbp:publishedIn 1916
gptkbp:relatedTo gptkb:Birkhoff's_theorem
gptkb:Schwarzschild_black_hole
gptkb:gravitational_time_dilation
gravitational redshift
deflection of light by gravity
perihelion precession
gptkbp:solutionTo gptkb:Einstein_field_equations
gptkbp:usedIn gptkb:cosmology
astrophysics
gravitational physics
gptkbp:bfsParent gptkb:Einstein–Rosen_bridge
gptkb:General_Theory_of_Relativity
gptkb:general_relativity
gptkbp:bfsLayer 4