Hawking radiation via Gauss–Bonnet theorem

Овгун, Али; Сакалли, Иззет

doi:10.1016/j.aop.2020.168071

Cited by 29 publications

(16 citation statements)

References 50 publications

(52 reference statements)

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“…The main reason is because our intent was basically to illustrate how the method can be applied, leaving their due analysis for future publications, especially in view of the complexity most of them present. Concerning the simplest ones, which are the first two solutions, the second one provides essentially the same spacetime as the first, for which many studies have already been made [61][62][63][64][65][66][67][68]. Only the last example had a small further analysis with regard to its distinguished surfaces.…”

Section: Conclusion and Remarksmentioning

confidence: 97%

Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value

Poulis,

Soares

2021

Preprint

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This work belongs to the context of the standard-model extension, in which a Lorentz symmetry violation is induced by a bumblebee field as it acquires a nonzero vacuum expectation value. The mathematical formulation of a generic bumblebee model and its associated dynamical equations are presented. Then, these equations are considered for the vacuum and a substantial simplification is performed for the particular case of a gradient bumblebee field at its vacuum expectation value. After some further manipulation, a method to easily find solutions to the model is developed, in which the exact bumblebee field contributions to a vacuum metric from General Relativity is explicitly provided in terms of both of them. As some examples, the method was applied to determine the implications of the bumblebee field on the Schwarzschild solution and a rotating spacetime. A previously published solution was recovered and some new ones were obtained. In the rotating situation, a simple solution was found which contains both Kerr solution and the already published one as special cases. It is also shown that its distinguished surfaces are still given by the same corresponding expressions for the Kerr solution. As a conclusion, the mathematical improvement made is considered to be a significant contribution the theory as a powerful tool to investigate its many aspects and consequences.

show abstract

Section: Conclusion and Remarksmentioning

confidence: 97%

Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value

Poulis,

Soares

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The main reason is that our intent was basically to illustrate how the method can be applied, leaving their due analysis for future publications, especially because of the complexity most of them present. Concerning the simplest ones, which are the first two solutions, the second one provides essentially the same spacetime as the first, for which many studies have already been made [61][62][63][64][65][66][67]72,73]. Only the last example had a small further analysis with regard to its distinguished surfaces.…”

Section: Conclusion and Remarksmentioning

confidence: 99%

Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value

Poulis

Soares

2022

Eur. Phys. J. C

View full text Add to dashboard Cite

This work belongs to the context of the standard-model extension, in which a Lorentz symmetry violation is induced by a bumblebee field as it acquires a nonzero vacuum expectation value. The mathematical formulation of a generic bumblebee model and its associated dynamical equations are presented. Then, these equations are considered for the vacuum and a substantial simplification is performed for the particular case of a gradient bumblebee field at its vacuum expectation value. After some further manipulation, a method to easily find solutions to the model is developed, in which the exact effect on the spacetime description due to the presence of this bumblebee field is explicitly provided. As some examples, the method is applied to determine the implications of the bumblebee field on the Schwarzschild spacetime and also on a rotating one. A previously published solution is recovered and some new ones are obtained. In the rotating situation, a simple solution is found which contains both the Kerr solution and the already published one as special cases. It is also shown its distinguished surfaces are still given by the same corresponding expressions for the Kerr solution. In conclusion, the mathematical improvement made is considered to be a significant contribution to the theory as a powerful tool to investigate its many aspects and consequences.

show abstract

“…A BH curves a spacetime around it and according to GR, this space time act as a gravitational potential under which particle move. Some of them are reflected back into BH and other are transmitted by BH [83]- [88]. Therefore, the HR observed by the observer from outside of BH is different from the spreading by gravitational potential.…”

Section: Introductionmentioning

confidence: 99%

Bounding Greybody and Weak Deflection Angle of NED Black Holes with Many Horizons

Javed¹,

Hussain²,

Овгун³

2021

Preprint

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In this project, our foremost intention is to analyze the angle of deflection of photon by NED black holes with many horizons in the context of non-linear electrodynamics. For the accomplishment of our intention at first we manipulated the optical metric of the desired black holes for the calculation of Gaussian curvature. After that, the angle of deflection in leading orders is attained from the desired black holes in weak field limit by using the famous Gauss-Bonnet theorem. Moreover, we evince the effect of plasma medium on the angle of deflection. At last, the graphical impact of the angle of deflection for NED black holes with many horizons is examined with respect to black hole charge and impact parameter in both the plasma and non plasma medium. In addition, we discuss the rigorous bound for grey body factor of the desired black hole and also observer its graphical behavior.

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Hawking radiation via Gauss–Bonnet theorem

Cited by 29 publications

References 50 publications

Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value

Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value

Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value

Bounding Greybody and Weak Deflection Angle of NED Black Holes with Many Horizons

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