Generalized Vaidya spacetime: horizons, conformal symmetries, surface gravity and diagonalization

Abstract

In this paper, the different properties of generalized Vaidya spacetime are considered. We define the location of horizons. We show that the apparent horizon can contain the event horizon. The locations of all types of horizons are compared with ones in the usual Vaidya spacetime. We investigate the timelike geodesics in this spacetime. New corrections to Schwarzschild and Vaidya cases appear and we give conditions when these corrections are not negligible. Also, we consider the conformal Killing vector and transform the metric to conformally-static coordinates. We introduce a new constant of motion along null and timelike geodesics, which is generated by a homothetic Killing vector. The conformally-static coordinates allow diagonalizing of the generalized Vaidya spacetime. The surface gravity has been calculated for the dust and stiff fluid cases.

arXiv comment29 pages

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Cited by in corpus (8)

• Dynamical Photon Spheres in Charged Black Holes and Naked Singularities
• Extraction Energy From Charged Vaidya Black Hole Via Penrose Process
• Formation of regular black hole from baryonic matter
• Thermodynamics with conformal Killing vector in the charged Vaidya metric
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Particle production rate for a dynamical system using the path integral approach
• Generalized Eddington--Finkelstein Coordinates and Exact Vaidya-Type Solutions in Weyl Conformal Gravity
• Homothetic Killing horizons in generic Vaidya spacetimes