### Abstract

We analyze the effects of the back reaction due to a conformal field theory (CFT) on a black hole spacetime with negative cosmological constant. We study the geometry numerically obtained by taking into account the energy momentum tensor of CFT approximated by a radiation fluid. We find a sequence of configurations without a horizon in thermal equilibrium (CFT stars), followed by a sequence of configurations with a horizon. We discuss the thermodynamic properties of the system and how back reaction effects alter the space-time structure. We also provide an interpretation of the above sequence of solutions in terms of the AdS/CFT correspondence. The dual five-dimensional description is given by the Karch-Randall model, in which a sequence of five-dimensional floating black holes followed by a sequence of brane localized black holes correspond to the above solutions.

Original language | English |
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Article number | 99 |

Journal | Journal of High Energy Physics |

Volume | 2010 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2010 Jan 1 |

Externally published | Yes |

### Keywords

- AdS-CFT correspondence
- Black holes
- Large extra dimensions

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Journal of High Energy Physics*,

*2010*(1), [99]. https://doi.org/10.1007/JHEP01(2010)099