No Go Theorem for Kinematic Self-Similarity with A Polytropic Equation of State

Details No Go Theorem for Kinematic Self-Similarity with A Polytropic Equation of State No Go Theorem for Kinematic Self-Similarity with A Polytropic Equation of State

2002-04-10

arxiv.org/abs/gr-qc/0204039v2

Phys.Rev. D66 (2002) 027501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures. Revtex. One word added to the title. Final version to appear in Physical Review D as a Brief Report

Scientific paper

10.1103/PhysRevD.66.027501

We have investigated spherically symmetric spacetimes which contain a perfect
fluid obeying the polytropic equation of state and admit a kinematic
self-similar vector of the second kind which is neither parallel nor orthogonal
to the fluid flow. We have assumed two kinds of polytropic equations of state
and shown in general relativity that such spacetimes must be vacuum.

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