In this work, we discuss the quantum mechanics on the moduli space consisting of two maximally charged dilaton black holes. We study the quantum effects resulting from the different structure of the moduli space geometry in the scattering process.

We analyze the horizon structure of families of space times obtained by evolving initial data sets containing apparent horizons with several connected components. We show that under certain smallness conditions the outermost apparent horizons will also have several connected components. We further show that, again under a smallness condition, the maximal globally hyperbolic development of the m...

If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the Gibbons-Hawking temperature for the thermal vacua. These are related to the Euler number of the Euclidean section whose topology is more complicated than expected. We al...

For extremal black holes the fuzzball conjecture says that the throat of the geometry ends in a quantum ‘fuzz’, instead of being infinite in length with a horizon at the end. For the D1-D5 system we consider a family of sub-ensembles of states, and find that in each case the boundary area of the fuzzball satisfies a Bekenstein type relation with the entropy enclosed. We suggest a relation betwe...

The quantum mechanics of N slowly-moving charged BPS black holes in five-dimensional N = 1 supergravity is considered. The moduli space metric of the N black holes is derived and shown to admit 4 supersymmetries. A near-horizon limit is found in which the dynamics of widely separated black holes decouples from that of strongly-interacting, near-coincident black holes. This decoupling suggests t...

We study black holes in three-dimensional Chern-Simons gravity with a negative cosmological constant. In particular, we identify how the Chern-Simons interactions between a scattering particle and a black hole project the particle wavefunction onto a wavefunction in the black hole background. We also analyze the set of space-times that should be allowed in the theory and the way in which bounda...

We study the evaporation of black holes in space-times with extra dimensions of size L. We show that the luminosity is greatly damped when the horizon becomes smaller than L and black holes born with an initial size smaller than L are almost stable. This effect is due to the dependence of both the occupation number density of Hawking quanta and the grey-body factor of a black hole on the dimens...

A string-like model with the ”cosmological constant” Λ is considered. The Maki-Shiraishi multi-black-hole solution [2] is generalized to space-times with a Ricci-flat internal space. For Λ = 0 the obtained solution in the one-black-hole case is shown to coincide with the extreme limit of the charged dilatonic black hole solution [11, 12]. The Hawking temperature TH for the solution [11, 12] is ...

Introduction The transformation of a digital image from a three-dimensional color space, such as RGB, XYZ, L*u*v*, etc., to four-dimensional colorant space (typically cyan, magenta, yellow, and black) is in general underdetermined. (The reasons for the addition of a black colorant are detailed in Yule. [1]) We therefore have a degree of freedom for colors within the three-colorant gamut; withou...

Some aspects of the rotating three-dimensional Einstein-Anti-de-Sitter black hole solution, constructed recently by Banados, Teitelboim and Zanelli are discussed. It is shown explicitly that this black hole represents the most general black hole type solution of the Einstein-Anti-de-Sitter theory. The interpretation of one of the integrals of motion as the spin is discussed. Its physics relies ...