Category
page 1Exact solutions in general relativity
Minkowski spacetime
mathematical space setting which eases explanation of special relativity
Schwarzschild metric
spherically symmetric static vacuum solution of Einstein’s field equations with zero cosmological constant
Friedmann–Lemaître–Robertson–Walker metric
metric properties of the spacetime based on Albert Einstein's metric tensor and field solution for the spacetime
Alcubierre drive
hypothetical mode of transportation by warping space
Kerr metric
exact solution for the Einstein field equations
Reissner–Nordström metric
spherically symmetric metric with electric charge
static universe
model of the universe that is not expanding or contracting, e.g. one in which the cosmological constant exactly balances things
de Sitter universe
cosmological solution to the Einstein field equations of general relativity
anti-de Sitter space
maximally symmetric Lorentzian manifold with negative cosmological constant, which appears in the AdS/CFT correspondence
de Sitter space
maximally symmetric Lorentzian manifold with positive cosmological constant
Kerr–Newman metric
exact solution of the Einstein field equations describing the spacetime around an electrically charged and rotating mass
two-body problem in general relativity
Interaction of two bodies in general relativity
Gödel metric
solution of Einstein field equations with a a homogeneous distribution of swirling dust particles and a negative cosmological constant, featuring closed timelike curves
Tolman–Oppenheimer–Volkoff equation
ordinary differential equation describing an isotropic spherical body in static gravitational equilibrium in general relativity
BKL singularity
general relativity model near the beginning of the universe
vacuum solution in general relativity
Lorentzian manifold with vanishing Einstein tensor
Milne model
cosmological model equivalent to a zero-energy-density FLRW model
exact solution in general relativity
dust solution
exact solution in general relativity with a stress–energy tensor consisting of positive energy density and zero pressure
van Stockum dust
exact solution of the Einstein field equation with dust rotating about an axis of cylindrical symmetry
Petrov classification
classification of the possible algebraic symmetries of the Weyl tensor at each point in a Lorentzian manifold
Kasner metric
solution of Einstein field equations
Deriving the Schwarzschild solution
Exercise in general relativity
Lemaître coordinates
particular set of coordinates for the Schwarzschild metric
Taub–NUT space
asymptotically locally flat (ALF) hyperkähler manifold
fluid solution
class of exact solutions to Einstein's field equations
Lemaître–Tolman metric
Lorentzian metric describing an isotropic, expanding, nonhomogenous universe
Vaidya metric
non-empty external spacetime of a spherically symmetric and nonrotating star which is either emitting or absorbing null dusts