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

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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-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 $D\geq5$, 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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  • On static and rotating decoupled black holes without inner horizons gr-qc · 2024-12-01 · conditional · none · ref 16 · internal anchor

    The authors construct a family of static and rotating black hole metrics with an extra 1/r^n hair that, for negative hair parameter, removes the Cauchy horizon and makes the central singularity spacelike.