Lattice black branes: sphere packing in general relativity. (English) Zbl 1391.83054
Summary: We perturbatively construct asymptotically \( {\mathbb{R}}^{1,3}\times {\mathbb{T}}^2 \) black branes with multiple inhomogeneous directions and show that some of them are thermodynamically preferred over uniform branes in both the microcanonical and canonical ensembles. This demonstrates that, unlike five-dimensional black strings, the instability of some unstable black branes has a plausible endpoint that does not require a violation of cosmic censorship.
MSC:
| 83C57 | Black holes |
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 57M50 | General geometric structures on low-dimensional manifolds |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 80A10 | Classical and relativistic thermodynamics |
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