Perfect fluid cosmology with geodesic world lines

Raychaudhuri, A. K. ; Maity, S. R. (1978) Perfect fluid cosmology with geodesic world lines Physical Review D - Particles, Fields, Gravitation and Cosmology, 18 (10). pp. 3595-3597. ISSN 1550-7998

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Official URL: http://link.aps.org/doi/10.1103/PhysRevD.18.3595

Related URL: http://dx.doi.org/10.1103/PhysRevD.18.3595

Abstract

It is shown that for a perfect fluid with an equation of state p=p(ρ), if the world lines are geodesics, then they are hypersurface orthogonal and the scalars p, ρ, σ2, and θ2 are all constants over these hypersurfaces, irrespective of any spatial-homogeneity assumption. However, an examination of some simple cases does not reveal any spatially nonhomogeneous solution with these properties.

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