The first law for boosted Kaluza-Klein black holes

@article{Kastor2007TheFL,
  title={The first law for boosted Kaluza-Klein black holes},
  author={David Kastor and Sourya Ray and Jennie Traschen},
  journal={Journal of High Energy Physics},
  year={2007},
  volume={2007},
  pages={026-026}
}
We study the thermodynamics of Kaluza-Klein black holes with momentum along the compact dimension, but vanishing angular momentum. These black holes are stationary, but non-rotating. We derive the first law for these spacetimes and find that the parameter conjugate to variations in the length of the compact direction is an effective tension, which generally differs from the ADM tension. For the boosted black string, this effective tension is always positive, while the ADM tension is negative… 

Higher-dimensional rotating charged black holes

Using the blackfold approach, we study new classes of higher-dimensional rotating black holes with electric charges and string dipoles, in theories of gravity coupled to a 2-form or 3-form field

The thermodynamics of Kaluza–Klein black hole/bubble chains

A Killing bubble is a minimal surface that arises as the fixed surface of a spacelike Killing field. We compute the bubble contributions to the Smarr relations and the mass and tension first laws for

Blackfolds in (anti)-de Sitter backgrounds

We construct different neutral blackfold solutions in Anti-de Sitter and de Sitter background spacetimes in the limit where the cosmological constant is taken to be much smaller than the horizon

Mass and free energy in the thermodynamics of squashed Kaluza–Klein black holes

The Abbott–Deser mass, the Hamiltonian and the Komar mass of the five-dimensional Kaluza–Klein black hole with squashed horizons take different values. Introducing a new couple of thermodynamic

Black Holes in Higher-Dimensional Gravity

This article reviews some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are

The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets

We consider string theory compactifications of the form AdS with orientifold six-planes, where is a six-dimensional compact space that is either a nilmanifold or a coset. For all known solutions of

New horizons for black holes and branes

We initiate a systematic scan of the landscape of black holes in any spacetime dimension using the recently proposed blackfold effective worldvolume theory. We focus primarily on asymptotically flat

Extremal vacuum black holes in higher dimensions

We consider extremal black hole solutions to the vacuum Einstein equations in dimensions greater than five. We prove that the near-horizon geometry of any such black hole must possess an SO(2,1)

The Phase Structure of Higher-Dimensional Black Rings and Black Holes

We construct an approximate solution for an asymptotically flat, neutral, thin rotating black ring in any dimension D ≥ 5 by matching the near-horizon solution for a bent boosted black string, to a

Angular tension of black holes

Angular tension is an ADM charge that contributes a work term to the first law of black hole mechanics when the range of an angular coordinate is varied and leads to a new Smarr formula for

Stresses and strains in the first law for Kaluza-Klein black holes

We consider how variations in the moduli of the compactification manifold contribute `pdV' type work terms to the first law for Kaluza-Klein black holes. We give a new proof for the S1 case, based on

Tension perturbations of black brane spacetimes

We consider black brane spacetimes that have at least one spatial translation Killing field that is tangent to the brane. A new parameter, the tension of a spacetime, is defined. The tension

A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric

A key result in the proof of black hole uniqueness in 4-dimensions is that a stationary black hole that is “rotating”—i.e., is such that the stationary Killing field is not everywhere normal to the

Extrema of mass, stationarity, and staticity, and solutions to the Einstein-Yang-Mills equations.

  • SudarskyWald
  • Mathematics
    Physical review. D, Particles and fields
  • 1992
A generalization of the argument to the case in which an interior boundary is present proves that a necessary condition for a solution of the Einstein-Yang-Mills equation to be an extremum of mass at fixed area of the boundary surface is that the solution be static.

Instabilities of black strings and branes

We review recent progress on the instabilities of black strings and branes both for pure Einstein gravity as well as supergravity theories which are relevant for string theory. We focus mainly on

BLACK STRING AND VELOCITY FRAME DRAGGING

We investigate velocity frame dragging with the boosted Schwarzschild black string solution and the boosted Kaluza–Klein bubble solution, in which a translational symmetry along the boosted

Boosted domain wall and charged Kaigorodov space

The first law of black brane mechanics

We obtain ADM and Komar surface integrals for the energy density, tension and angular momentum density of stationary p-brane solutions of Einstein's equations. We use them to derive a Smarr-type

The four laws of black hole mechanics

Expressions are derived for the mass of a stationary axisymmetric solution of the Einstein equations containing a black hole surrounded by matter and for the difference in mass between two