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G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, and Particle Creation,” Physical Review D, Vol. 15, No. 10, 1977, pp. 2738-2751. http://dx.doi.org/10.1103/ PhysRevD.15.2738

has been cited by the following article:

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

  AUTHORS: Ngangbam Ishwarchandra, Kangujam Yugindro Singh

  KEYWORDS: Vaidya Solution; Non-Stationary de Sitter; Einstein’s Equations; Energy-Momentum Tensor

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.3 No.4, December 16, 2013

  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.