A new solution for a rotating perfect fluid in general relativity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitational Fields, Ideal Fluids, Neutron Stars, Relativity, Rotating Fluids, Stellar Gravitation, Astronomical Models, Einstein Equations, Tensors

Scientific paper

A new exact solution of Einstein's field equations with the energy-momentum tensor of a perfect fluid is given. This solution can be interpreted as a stationary axisymmetric gravitational field which is regular and satisfies the dominant energy condition everywhere inside a closed surface of vanishing pressure. The fluid rotates rigidly; the equation of state is (epsilon) + 3p = constant. The solution is of Petrov type D and admits a maximal group G2 of motions.

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