About the Project
This project will be supervised by Dr. Mahdi Godazgar
Recently it has been shown that certain black holes which do not radiate any Hawking radiation (extremal black holes) admit an infinite tower of conserved charges [1, 2, 3]. In particular, the existence of such conserved charges impedes the decay of perturbations and therefore, leads to instabilities. The existence of an infinite tower of conserved charges is one feature of an integrable system, i.e. a system of equations that can be integrated up to quadratures . This project will aim to understand whether one can identify an integrable structure behind this surprising feature .
The application procedure is described on the School website. For further inquiries please contact Dr Mahdi Godazgar at [Email Address Removed].
The School of Mathematical Sciences is committed to the equality of opportunities and to advancing women’s careers. As holders of a Bronze Athena SWAN award we offer family friendly benefits and support part-time study.
 S. Aretakis, “Horizon instability of extremal black holes,” Adv. Theor. Math. Phys. 19 (2015) 507–530, arXiv:1206.6598 [gr-qc].
 H. Godazgar, M. Godazgar, and C. N. Pope, “Aretakis Charges and Asymptotic Null Infinity,” Phys. Rev. D96 (2017) no. 8, 084055, arXiv:1707.09804 [hep-th].
 M. Dunajski, Solitons, instantons, and twistors / Maciej Dunajski. Oxford graduate texts in mathematics ; 19. OUP, Oxford, 2010.
 G. W. Gibbons and P. K. Townsend, “Black holes and Calogero models,” Phys. Lett. B454 (1999) 187–192, arXiv:hep-th/9812034 [hep-th].
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