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Charges on extremal black hole horizons and their integrability

School of Mathematical Sciences

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Dr M Godazgar Applications accepted all year round

About the Project

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing in September 2020 for self-funded students.

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 [4]. This project will aim to understand whether one can identify an integrable structure behind this surprising feature [5].

The application procedure is described on the School website. For further inquiries please contact Dr Mahdi Godazgar at [Email Address Removed].

Funding Notes

This project can be undertaken as a self-funded project. Self-funded applications are accepted year-round for a January, April or September start.

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.


[1] S. Aretakis, “Stability and instability of extreme Reissner-Nordstr¨om black hole spacetimes for linear scalar perturbations I,” Comm. Math. Phys. 307 (2011) 17–63, arXiv:1110.2007 [gr-qc].

[2] S. Aretakis, “Horizon instability of extremal black holes,” Adv. Theor. Math. Phys. 19 (2015) 507–530, arXiv:1206.6598 [gr-qc].

[3] 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].

[4] M. Dunajski, Solitons, instantons, and twistors / Maciej Dunajski. Oxford graduate texts in mathematics ; 19. OUP, Oxford, 2010.

[5] 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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