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Pseudo projective Ricci symmetric spacetimes

Uday Chand De|Pradip Majhi|Sahanous Mallick
대한수학회 (The Korean Mathematical Society)|2018.04|대한수학회논문집 (Communications of the KMS)|제33권 제2호|pp. 571-580

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참고문헌

키워드

perfect fluid spacetimeEinstein's field equationenergy momentum tensorcovariant constant energy-momentum tensor
주제분류수학

초록

The object of the present paper is to prove the non-existence of pseudo projective Ricci symmetric spacetimes $(PWRS)_{4}$ with different types of energy momentum tensor. We also discuss whether a fluid $(PWRS)_{4}$ spacetime with the basic vector field as the velocity vector field of the fluid can admit heat flux. Next we consider perfect fluid and dust fluid $(PWRS)_{4}$ spacetimes respectively. Finally we construct an example of a $(PWRS)_{4}$ spacetime.

Abstract

The object of the present paper is to prove the non-existence of pseudo projective Ricci symmetric spacetimes $(PWRS)_{4}$ with different types of energy momentum tensor. We also discuss whether a fluid $(PWRS)_{4}$ spacetime with the basic vector field as the velocity vector field of the fluid can admit heat flux. Next we consider perfect fluid and dust fluid $(PWRS)_{4}$ spacetimes respectively. Finally we construct an example of a $(PWRS)_{4}$ spacetime.

참고문헌 (22)

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