The thermodynamics of Kaluza–Klein black hole/bubble chains

@article{Kastor2008TheTO,
  title={The thermodynamics of Kaluza–Klein black hole/bubble chains},
  author={David Kastor and Sourya Ray and Jennie Traschen},
  journal={Classical and Quantum Gravity},
  year={2008},
  volume={25},
  pages={125004}
}
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 spacetimes containing both black holes and Killing bubbles. The resulting relations display an interesting interchange symmetry between the properties of black hole horizons and those of KK bubbles. This interchange symmetry reflects the underlying relation between static bubbles and black holes… 

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References

SHOWING 1-10 OF 19 REFERENCES

When black holes meet Kaluza-Klein bubbles

We explore the physical consequences of a recently discovered class of exact solutions to the five dimensional Kaluza-Klein theory. We find a number of surprising features including the following:

The first law for boosted Kaluza-Klein black holes

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

Euclidean black-hole vortices.

The existence of solutions of the Euclidean Einstein equations that correspond to a vortex sitting at the horizon of a black hole are argued and the asymptotic behaviors of vortex solutions for the gauge and scalar fields in an Abelian Higgs model on a Euclidesan Schwarzschild background are found.

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

Sequences of bubbles and holes: new phases of Kaluza-Klein black holes

We construct and analyze a large class of exact five- and six-dimensional regular and static solutions of the vacuum Einstein equations. These solutions describe sequences of Kaluza-Klein bubbles and

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

Phase structure of black holes and strings on cylinders

Instability of the Kaluza-Klein Vacuum

The Gravitational Hamiltonian, action, entropy and surface terms

We give a derivation of the gravitational Hamiltonian starting from the Einstein - Hilbert action, keeping track of all surface terms. This derivation can be applied to any spacetime that

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.