A new inhomogeneous cosmological model in general relativity

Mathematics – Logic

Scientific paper

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Cosmology, Gravitation Theory, Relativistic Theory, Coordinate Transformations, Einstein Equations, Space-Time Functions

Scientific paper

A new perfect-fluid solution of Einstein's field equations is explicitly given; it is in general of Petrov type II and admits a maximal group G2 of motions. The hypersurface-normal four-velocity is not orthogonal to the group orbits. The equation of state is w = p + constant. The solution can be interpreted as an axisymmetric gravitational field, and appears to represent an inhomogeneous cosmological model. The nature of the singularities is studied.

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