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Vaidya Solution in Non-Stationary de Sitter Background: Hawking’s Temperature

PP. 494-499
DOI: 10.4236/ijaa.2013.34057    2,442 Downloads   4,192 Views   Citations

ABSTRACT

In this paper we propose a class of non-stationary solutions of Einstein’s field equations describing an embedded Vaidya-de Sitter solution with a cosmological variable function Λ(u). Vaidya-de Sitter solution is interpreted as the radiating Vaidya black hole which is embedded into the non-stationary de Sitter space with variable Λ(u). The energymomentum tensor of the Vaidya-de Sitter black hole may be expressed as the sum of the energy-momentum tensor of the Vaidya null fluid and that of the non-stationary de Sitter field, and satisfies the energy conservation law. We also find that the equation of state parameter w= p/ρ = -1 of the non-stationary de Sitter solution holds true in the embedded Vaidya-de Sitter solution. It is also found that the space-time geometry of non-stationary Vaidya-de Sitter solution with variable Λ(u) is type D in the Petrov classification of space-times. The surface gravity, temperature and entropy of the space-time on the cosmological black hole horizon are discussed.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

N. Ishwarchandra and K. Singh, "Vaidya Solution in Non-Stationary de Sitter Background: Hawking’s Temperature," International Journal of Astronomy and Astrophysics, Vol. 3 No. 4, 2013, pp. 494-499. doi: 10.4236/ijaa.2013.34057.

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