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

• 作者: Kangujam Yugindro Singh Ngangbam Ishwarchandra
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 数学
• 关键词: Vaidya SOLUTION NON-STATIONARY de SITTER Einstein’s EQUATIONS ENERGY-MOMENTUM TENSOR
• 年，卷（期）: 2013,（4）
• 页码范围: 494-499
• 页数: 6页
• 分类号: O1

摘要

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.