The C-metric black hole near the IR-brane in the AdS4 space
Abstract
We study the black hole shape using the C-metric solution for a matter trapped near the IR-brane in the AdS4 space. In the AdS/CFT duality, the IR-brane is introduced by embedding a 2-brane at the AdS4 radius z=l, while the UV-brane is defined by the AdS4 boundary. We find the C-metric solution generates a negative tension IR-brane and a negative thermal energy gas of colliding particles. We analyze the momentum energy tensor at the AdS4 boundary. We find that the negative energy black hole solution is entirely unstable even for a small perturbation in the Poincare coordinate space. However, such a black hole decays very rapidly due to the imaginary part emerges in the ADM mass. This imaginary part appears because of the orbifold constraints of the C-metric solution in the unusual coordinates. Moreover, this decay rate diverges at the UV-brane. This implies that the black hole evaporates instantaneously otherwise the boundary itself will collapse.
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