2021arXiv (Cornell University)Open access

The Linet-Tian metrics are a restricted set of Krasi\'nski's solutions of Einstein's field equations for a rotating perfect fluid

Reinaldo J. Gleiser

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Abstract

In this note we show that the Linet-Tian family of solutions of the vacuum Einstein equations with a cosmological constant are a restricted set of the solutions of the Einstein field equations for a rotating perfect fluid previously found by A. Krasi\'nski.

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In this note we show that the Linet-Tian family of solutions of the vacuum Einstein equations with a cosmological constant are a restricted set of the solutions of the Einstein field equations for a rotating perfect fluid previously found by A. Krasi\'nski.

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Available abstract

In this note we show that the Linet-Tian family of solutions of the vacuum Einstein equations with a cosmological constant are a restricted set of the solutions of the Einstein field equations for a rotating perfect fluid previously found by A. Krasi\'nski.

Key concepts: Physics, Perfect fluid, Einstein, Tian, Einstein field equations, Mathematical physics, Field equation, Cosmological constant

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