In this paper we study the effects of noncommutative phase space deformations on the Schwarzschild black hole. This idea has been previously studied in Friedmann–Robertson–Walker (FRW) cosmology, where this “noncommutativity” provides a simple mechanism that can explain the origin of the cosmological constant. In this paper, we obtain the same relationship between the cosmological constant and ...

In this letter we compute the corrections to the Cardy-Verlinde formula of Schwarzschild black holes. These corrections stem from the space noncommuta-tivity. Because the Schwarzschild black holes are non rotating, to the first order of perturbative calculations, there is no any effect on the properties of black hole due to the noncommutativity of space.

We present supersymmetric solutions describing black holes with non-vanishing angular momentum in four dimensional asymptotically flat space. The solutions are obtained by Kaluza-Klein reduction of five-dimensional supersymmetric black rings wrapped on the fiber of a Taub-NUT space. We show that in the four-dimensional description the singularity of the nut can be hidden behind a regular black ...

In recent years there has been some progress in the understanding of the global structure of stationary black hole space–times. In this paper we review some new results concerning the structure of stationary black hole space–times. In particular we prove a corrected version of the “black hole rigidity theorem”, and we prove a uniqueness theorem for static black holes with degenerate connected h...

The last decade has seen a revival of interest in pebble games in the context of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof systems when comparing the strength of different subsystems, showing bounds on proof space, and establishing size-space trade-offs. The typical approach has been to encode the pebble game played on a graph as a CNF formula...

We show that a class of four-dimensional rotating black holes allow fivedimensional embeddings as black rotating strings. Their near-horizon geometry factorizes locally as a product of the three-dimensional anti-deSitter spacetime and a two-dimensional sphere (AdS3 × S2), with angular momentum encoded in the global space-time structure. Following the observation that the isometries on the AdS3 ...

We study the thermodynamic properties associated with black hole horizon and cosmological horizon for the Gauss-Bonnet solution in de Sitter space. When the Gauss-Bonnet coefficient is positive, a locally stable small black hole appears in the case of spacetime dimension d = 5, the stable small black hole disappears and the Gauss-Bonnet black hole is always unstable quantum mechanically when d ...

Urbanization is the process in which green space (fields, trees, wetlands, etc.) is converted into black space (concrete and asphalt). Urbanization occurs because people move from rural areas to urban areas. This usually occurs when a country is still developing. Slums and its consequences of overcrowding lack of sanitation, global warming, air pollution, water pollution and loss of forest cove...