On causal structure of 4D-Einstein–Gauss–Bonnet black hole

Abstract The recently proposed effective equation of motion for the 4D-Einstein–Gauss–Bonnet gravity admits a static black hole solution that has, like the Rissner–Nordström charged black hole, two horizons instead of one for the Schwarzschild black hole. This means that the central singularity is t...

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Main Author: Naresh Dadhich
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-020-8422-8
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author Naresh Dadhich
author_facet Naresh Dadhich
author_sort Naresh Dadhich
collection DOAJ
description Abstract The recently proposed effective equation of motion for the 4D-Einstein–Gauss–Bonnet gravity admits a static black hole solution that has, like the Rissner–Nordström charged black hole, two horizons instead of one for the Schwarzschild black hole. This means that the central singularity is timelike instead of spacelike. It should though be noted that in $$D\ge 5$$ D ≥ 5 , the solution always admits only one horizon like the Schwarzshild solution. In the equation defining the horizon, the rescaled Gauss–Bonnet coupling constant appears as a new ‘gravitational charge’ with a repulsive effect to cause in addition to event horizon a Cauchy horizon. Thus it radically alters the causal structure of the black hole.
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spelling doaj.art-bacbab8560974836b1e394c279c287cf2022-12-21T19:04:45ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-09-018091410.1140/epjc/s10052-020-8422-8On causal structure of 4D-Einstein–Gauss–Bonnet black holeNaresh Dadhich0Inter-University Centre for Astronomy and AstrophysicsAbstract The recently proposed effective equation of motion for the 4D-Einstein–Gauss–Bonnet gravity admits a static black hole solution that has, like the Rissner–Nordström charged black hole, two horizons instead of one for the Schwarzschild black hole. This means that the central singularity is timelike instead of spacelike. It should though be noted that in $$D\ge 5$$ D ≥ 5 , the solution always admits only one horizon like the Schwarzshild solution. In the equation defining the horizon, the rescaled Gauss–Bonnet coupling constant appears as a new ‘gravitational charge’ with a repulsive effect to cause in addition to event horizon a Cauchy horizon. Thus it radically alters the causal structure of the black hole.http://link.springer.com/article/10.1140/epjc/s10052-020-8422-8
spellingShingle Naresh Dadhich
On causal structure of 4D-Einstein–Gauss–Bonnet black hole
European Physical Journal C: Particles and Fields
title On causal structure of 4D-Einstein–Gauss–Bonnet black hole
title_full On causal structure of 4D-Einstein–Gauss–Bonnet black hole
title_fullStr On causal structure of 4D-Einstein–Gauss–Bonnet black hole
title_full_unstemmed On causal structure of 4D-Einstein–Gauss–Bonnet black hole
title_short On causal structure of 4D-Einstein–Gauss–Bonnet black hole
title_sort on causal structure of 4d einstein gauss bonnet black hole
url http://link.springer.com/article/10.1140/epjc/s10052-020-8422-8
work_keys_str_mv AT nareshdadhich oncausalstructureof4deinsteingaussbonnetblackhole