On causal structure of $4D$-Einstein-Gauss-Bonnet black hole. (arXiv:2005.05757v3 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Dadhich_N/0/1/0/all/0/1">Naresh Dadhich</a>
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-Nordstr”{o}m 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 $Dgeq5$, 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.
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-Nordstr”{o}m 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 $Dgeq5$, 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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