Abstract

We study the thermodynamical features and dynamical evolutions of various apparent horizons associated with the Vaidya evaporating black hole surrounded by the cosmological fields of dust, radiation, quintessence, cosmological constant-like and phantom. In this regard, we address in detail how do these surrounding fields contribute to the characteristic features of a surrounded dynamical black hole in comparison to a dynamical black hole in an empty background.

Highlights

  • The Vaidya solution [1,2,3] is one of the non-static solutions of Einstein field equations

  • We aim to study the properties of the various horizons, mainly the apparent horizon (AH), associated with the Vaidya evaporating black hole solution surrounded by the cosmological fields of dust, radiation, quintessence, cosmological constant-like and phantom

  • We have studied the thermodynamical features and dynamical evolutions of the various apparent horizons associated with the Vaidya evaporating black hole surrounded by the cosmological fields of dust, radiation, quintessence, cosmological constant-like and phantom

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Summary

Introduction

The Vaidya solution [1,2,3] is one of the non-static solutions of Einstein field equations. We aim to study the properties of the various horizons, mainly the AH, associated with the Vaidya evaporating black hole solution surrounded by the cosmological fields of dust, radiation, quintessence, cosmological constant-like and phantom. In this regard, we explore the surrounded Vaidya solutions introduced in [23] using the approach used in [36,37].

The surrounded evaporating Vaidya black holes
The location and properties of the horizons
Evaporating Vaidya black hole in an empty background
Evaporating Vaidya black hole surrounded by the dust field
Evaporating Vaidya black hole surrounded by the radiation field
Evaporating Vaidya black hole surrounded by the quintessence field
Nc and the second and third solutions coincide to a single extremal
Evaporating Vaidya black hole surrounded by the phantom field
Conclusion
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