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hence the name of the chart. Isotropic charts are most often applied to static spherically symmetric spacetimes in metric theories of gravitation such...

equations of general relativity. The metric describes a homogeneous, isotropic, expanding (or otherwise, contracting) universe that is path-connected...

Tolman–Oppenheimer–Volkoff equation (metric and pressure equations of a static and spherically symmetric body of isotropic material) Planck length Luminet...

invariant under rotations and taking the mirror image. A static spacetime is one in which all metric components are independent of the time coordinate t {\displaystyle...

parameter H ( t ) = H 0 {\displaystyle H(t)=H_{0}} . In isotropic coordinates, the McVittie metric is given by d s 2 = − ( 1 − G M 2 c 2 a ( t ) r K 1 /...

constrains the structure of a spherically symmetric body of isotropic material which is in static gravitational equilibrium, as modeled by general relativity...

In Einstein's theory of general relativity, the interior Schwarzschild metric (also interior Schwarzschild solution or Schwarzschild fluid solution) is...

The Gödel metric, also known as the Gödel solution or Gödel universe, is an exact solution, found in 1949 by Kurt Gödel, of the Einstein field equations...

}}\right)\approx 0} and that the metric and its derivatives are approximately static and that the squares of deviations from the Minkowski metric are negligible. Applying...

Unsolved problem in physics: Is the universe homogeneous and isotropic at large enough scales, as claimed by the cosmological principle and assumed by...

charts have many applications in metric theories of gravitation such as general relativity. They are most often used in static spherically symmetric spacetimes...

object, such as a star. In most textbooks one finds the metric tensor written in terms of a static polar spherical chart, as follows: d s 2 = − ( 1 − 2 m...

equipped with suitable tensor fields which models a static round ball of a fluid with isotropic pressure. Such solutions are often used as idealized...

stuck to a full quadratic (static) form but instead, allowed a cross time-space product making the metric form no longer static but stationary and no longer...

, to write the metric (the line element). Several coordinate charts are possible; these include: Schwarzschild coordinates Isotropic coordinates, in...

constant spatial coordinate values to observers who perceive the universe as isotropic. Such observers are called "comoving" observers because they move along...

general theory of relativity. The static vacuum solutions in Nordström's theory are the Lorentzian manifolds with metrics of the form d s 2 = exp ⁡ ( 2 ψ...

its immediate vicinity clocks are synchronized and light propagates isotropically in space. But the experience when the observers try to synchronize their...

of static spherically symmetric perfect fluids. Static spacetime Static spherically symmetric perfect fluids Schwarzschild coordinates Isotropic coordinates...

cosmological principle – that the universe is roughly homogeneous and isotropic in space though not necessarily in time, and the Copernican principle –...