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In this paper we characterize semiconformally flat spacetimes and a spacetime with harmonic semiconformal curvature tensor. At first in a semiconformally flat perfect fluid spacetime we obtain a state equation and prove that in particular for dimension $n=4$, the spacetime represents a model for incoherent radiation. Next we prove that perfect fluid spacetime with harmonic semiconformal curvature tensor is of Petrov type $I$, $D$ or $O$ and the spacetime is a GRW spacetime. As a consequence we obtain several corollaries.
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참고문헌 (37)
참고문헌 신청
Luis J. Alías / 1995 / Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes / General Relativity and Gravitation 27(1):71~84
L. Alꠕas / 1995 / Compact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes, In Geometry and topology of submanifolds, VII (Leuven, 1994/Brussels, 1994), 67-70 / World Sci. Publ., River Edge
A. Barnes / 1973 / On shear free normal flows of a perfect fluid / General Relativity and Gravitation 4(2):105~129
J. P. Bourguigon / 2006 / Codazzi tensor elds and curvature operators, Global Di. geometry and global analysis, (Proceedings, Berlin 1979), 249-250 / Lecture Notes in Maths 838
Miguel Brozos-Vázquez / 2005 / Some remarks on locally conformally flat static space–times / Journal of Mathematical Physics 46(2):022501
L. Alꠕas / 1995 / Compact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes, In Geometry and topology of submanifolds, VII (Leuven, 1994/Brussels, 1994), 67-70 / World Sci. Publ., River Edge
A. Barnes / 1973 / On shear free normal flows of a perfect fluid / General Relativity and Gravitation 4(2):105~129
J. P. Bourguigon / 2006 / Codazzi tensor elds and curvature operators, Global Di. geometry and global analysis, (Proceedings, Berlin 1979), 249-250 / Lecture Notes in Maths 838
Miguel Brozos-Vázquez / 2005 / Some remarks on locally conformally flat static space–times / Journal of Mathematical Physics 46(2):022501
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