Thermodynamic relations for a class of 2D black holes are obtained corresponding to observations made from finite spatial distances. We also study the thermodynamics of the charged version of the Jackiw-Teitelboim black holes found recently by Lowe and Strominger. Our results corroborate, in appropriate limits, to those obtained previously by other methods. We also analyze the stability of thes...

We show that quantum mechanics and general relativity limit the speed nu of a simple computer (such as a black hole) and its memory space I to I(nu2) less, similar(t(-2))P, where t(P) is the Planck time. We also show that the lifetime of a simple clock and its precision are similarly limited. These bounds and the holographic bound originate from the same physics that governs the quantum fluctua...

We consider the classification of asymptotically flat, stationary, vacuum black hole spacetimes in four and five dimensions, that admit one two commuting axial Killing fields respectively. It is well known Einstein equations reduce to a harmonic map on two-dimensional orbit space, which itself arises as integrability condition for linear system spectral equations. integrate Belinski-Zakharov al...

In the curved space-time, neutral test particle is not affected by any other force except for influence of space-time. Similar to free sub in flat space, Lagrangian only contains kinetic energy term—the term four-dimensional case small space-time curvature, linear approximation can be made. That is, under weak field approximation, quantity degenerates into axisymmetric gravitational Newtonian m...

Locally AdS$_{d-1}\times\mathbb{R}$ uniform black strings (UBS) in the presence of a massless scalar field are believed to avoid onset Gregory-Laflamme (GL) instability $d\ge4$ as no tachyonic modes exist spectrum Laplace-Beltrami operator. We present analytic and numerical evidence GL Lichnerowicz indicating that AdS$_{d-1}$ UBSs classically thermodynamically unstable at linear level $d>4$. In...

I study the global structure of de Sitter space in the semi-classical and one-loop approximations to quantum gravity. The creation and evaporation of neutral black holes causes the fragmentation of de Sitter space into disconnected daughter universes (‘proliferation,’ hepth/9805081). If the black holes are stabilized by a charge, I find that the decay leads to a necklace of de Sitter universes ...