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We show that the notion of the maximum force conjecture $F leqslant 1/4$ in general relativity, when applied to asymptotically flat singly spinning Myer-Perry black holes in any dimension, reveals the underlying thermodynamic instability in a number of ways. In particular, the Hookean force law $F_1=kx$, suitably defined, is bounded by the conjectured limit, but in $dgeqslant 6$ it is further bounded by a dimensional dependent value less than $1/4$, which remarkably corresponds to the Emparan-Myers fragmentation (splitting of a black hole into two becomes thermodynamically preferable). Furthermore, we define another force as the square of the angular momentum to entropy ratio ($F_2=J^2/S^2$). In dimensions $dgeqslant 6$, the positive Ruppeiner scalar curvature region in the thermodynamic phase space is marked by the upper boundary $F_2=frac{1}{12}left(frac{d-3}{d-5}right)$ and the lower boundary $F_2=frac{1}{4}left(frac{d-3}{d-5}right)$, the latter corresponds to a black hole that suffers from Gregory-Laflamme instability. Surprisingly, the upper and lower boundaries correspond to $F=1/4$ when $d=6$ and $dto infty$, respectively. We discuss how the maximum force may be relevant to the underlying black hole microstructure and its relationship to cosmic censorship.
We numerically study the superradiant instability of charged massless scalar field in the background of charged stringy black hole with mirror-like boundary condition. We compare the numerical result with the previous analytical result and show the d
Much of the success of gravitational-wave astronomy rests on perturbation theory. Historically, perturbative analysis of gravitational-wave sources has largely focused on post-Newtonian theory. However, strong-field perturbation theory is essential i
The memory effect at null infinity, $mathcal{I}^+$, can be defined in terms of the permanent relative displacement of test particles (at leading order in $1/r$) resulting from the passage of a burst of gravitational radiation. In $D=4$ spacetime dime
We study the instability of a Reissner-Nordstrom-AdS (RNAdS) black hole under perturbations of a massive scalar field coupled to Einstein tensor. Calculating the potential of the scalar perturbations we find that as the strength of the coupling of th
Understanding the dynamic process of the thermodynamic phase transition can provide the deep insight into the black hole microscopic properties and structures. We in this paper study the dynamic properties of the stable small-large black hole phase t