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…
Figures from this paper
19 Citations
Sequences of dipole black rings and Kaluza-Klein bubbles
- Physics
- 2010
We construct new exact solutions to 5D Einstein-Maxwell equations describing sequences of Kaluza-Klein bubbles and dipole black rings. The solutions are generated by 2-soliton transformations from…
Gravitational tension and thermodynamics of planar AdS spacetimes
- Physics
- 2013
We derive new thermodynamic relations for asymptotically planar AdS black hole and soliton solutions. In addition to the ADM mass, these spacetimes are characterized by gravitational tensions in each…
The first law of soliton and black hole mechanics in five dimensions
- Physics
- 2014
We derive a mass formula and a mass variation law for asymptotically flat, stationary spacetimes, invariant under two commuting rotational symmetries, in a general five dimensional theory of gravity…
Charged rotating Kaluza–Klein black holes generated by G2(2) transformation
- Physics
- 2009
Applying the G2(2) generating technique for minimal D = 5 supergravity to the Rasheed black hole solution, we present a new rotating charged Kaluza–Klein black hole solution to the five-dimensional…
Thermodynamics of 5D black holes on asymptotically locally flat gravitational instantons
- Physics
- 2011
We investigate the thermodynamical properties of solutions to the 5D Einstein and Einstein-Maxwell-dilaton equations describing static black holes on ALF gravitational instantons. Some general…
Gravitational Tension and Thermodynamics of Planar AdS
- Physics
- 2017
We derive new thermodynamic relations for asymptotically planar AdS black hole and soliton solutions. In addition to the ADM mass, these spacetimes are characterized by gravitational tensions in each…
On the Thermodynamics of 5D Black Holes on ALF Gravitational Instantons
- Physics
- 2011
We investigate the thermodynamical properties of solutions to the 5D Einstein and Einstein-Maxwell-dilaton equations describing static black holes on ALF gravitational instantons. Some general…
On the thermodynamics of periodic AdS black branes
- Physics
- 2013
A bstractWe consider asymptotically AdS black brane solutions that are dual to CFTs with periodic dependence on the spatial directions, arising from either a spontaneous or an explicit breaking of…
On the thermodynamics of periodic AdS black branes
- PhysicsJournal of High Energy Physics
- 2013
We consider asymptotically AdS black brane solutions that are dual to CFTs with periodic dependence on the spatial directions, arising from either a spontaneous or an explicit breaking of…
References
SHOWING 1-10 OF 19 REFERENCES
When black holes meet Kaluza-Klein bubbles
- Physics
- 2003
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
- Physics
- 2007
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.
- PhysicsPhysical review. D, Particles and fields
- 1992
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
- Physics
- 2004
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
- Physics
- 2005
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
- Physics
- 2006
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…
The Gravitational Hamiltonian, action, entropy and surface terms
- Physics
- 1996
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.
- MathematicsPhysical 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.