2008Classical and Quantum GravityOpen access

SO ( n + 1) symmetric solutions of the Einstein equations in higher dimensions

M. Jakimowicz, J. Tafel

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Abstract

A method of solving the Einstein equations with a scalar field is presented. It is applied to find higher dimensional vacuum metrics invariant under the group SO ( n + 1) acting on n -dimensional spheres.

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A method of solving the Einstein equations with a scalar field is presented. It is applied to find higher dimensional vacuum metrics invariant under the group SO ( n + 1) acting on n -dimensional spheres.

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Available abstract

A method of solving the Einstein equations with a scalar field is presented. It is applied to find higher dimensional vacuum metrics invariant under the group SO ( n + 1) acting on n -dimensional spheres.

Key concepts: Physics, Einstein, Mathematical physics, Einstein equations, Field equation, Einstein field equations, Einstein's constant, Scalar field

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