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arXiv · 1805.05023

Gregory-Laflamme instability of black hole in Einstein-scalar-Gauss-Bonnet theories

Yun Soo Myung·De-Cheng Zou
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Abstract

We investigate the stability analysis of Schwarzschild black hole in Einstein-scalar-Gauss-Bonnet (ESGB) theory because the instability of Schwarzschild black hole without scalar hair implies the Gauss-Bonnet black hole with scalar hair. The linearized scalar equation is compared to the Lichnerowicz-Ricci tensor equation in the Einstein-Weyl gravity. It turns out that the instability of Schwarzschild black hole in ESGB theory is interpreted as not the tachyonic instability, but the Gregory-Laflamme instability of black string. In the small mass regime of $1/λ<1.174/r_+$, the Schwarzschild solution becomes unstable and a new branch of solution with scalar hair bifurcates from the Schwarzschild one. This is very similar to finding a newly non-Schwarzschild black hole in Einstein-Weyl gravity.

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Yun Soo Myung, De-Cheng Zou. 2018-07-05. Gregory-Laflamme instability of black hole in Einstein-scalar-Gauss-Bonnet theories. https://doi.org/10.1103/physrevd.98.024030

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