%0 Journal Article %1 Gubser2001Evolution %A Gubser, Steven S. %A Mitra, Indrajit %D 2001 %J Journal of High Energy Physics %K ads2, pert-bh %N 08 %P 018 %R 10.1088/1126-6708/2001/08/018 %T The evolution of unstable black holes in anti-de Sitter space %U http://dx.doi.org/10.1088/1126-6708/2001/08/018 %V 2001 %X We examine the thermodynamic stability of large black holes in four-dimensional anti-de Sitter space, and we demonstrate numerically that black holes which lack local thermodynamic stability often also lack stability against small perturbations. This shows that no-hair theorems do not apply in anti-de Sitter space. A heuristic argument, based on thermodynamics only, suggests that if there are any violations of Cosmic Censorship in the evolution of unstable black holes in anti-de Sitter space, they are beyond the reach of a perturbative analysis.

@article{Gubser2001Evolution, abstract = {{We examine the thermodynamic stability of large black holes in four-dimensional anti-de Sitter space, and we demonstrate numerically that black holes which lack local thermodynamic stability often also lack stability against small perturbations. This shows that no-hair theorems do not apply in anti-de Sitter space. A heuristic argument, based on thermodynamics only, suggests that if there are any violations of Cosmic Censorship in the evolution of unstable black holes in anti-de Sitter space, they are beyond the reach of a perturbative analysis.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Gubser, Steven S. and Mitra, Indrajit}, biburl = {https://www.bibsonomy.org/bibtex/28034971ebd63f93e5e561fd1001b04cf/acastro}, citeulike-article-id = {12390070}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0011127}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0011127}, citeulike-linkout-2 = {http://dx.doi.org/10.1088/1126-6708/2001/08/018}, day = 18, doi = {10.1088/1126-6708/2001/08/018}, eprint = {hep-th/0011127}, interhash = {6639bf591499e8c1a7bb7bd4003baace}, intrahash = {8034971ebd63f93e5e561fd1001b04cf}, issn = {1029-8479}, journal = {Journal of High Energy Physics}, keywords = {ads2, pert-bh}, month = sep, number = 08, pages = 018, posted-at = {2013-06-03 21:32:18}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{The evolution of unstable black holes in anti-de Sitter space}}, url = {http://dx.doi.org/10.1088/1126-6708/2001/08/018}, volume = 2001, year = 2001 }