docQuantum black holes and the singularity problem
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MAP-fis Essay Proposal, 2015-2016 (please write in English) Supervisor Name: Orfeu Bertolami e-mail: [email protected] Title Quantum black holes and the singularity problem Area (Materials, Optics, Condensed Theory, High Energy Theory,....); Theoretical Physics Summary of Proposal Black holes and singularities are believed to be unavoidable predictions of the Theory of General Relativity [1]. In this essay, we propose a study on the conditions of defining a quantum black hole and of examining whether their singularities share some features with their classical counterparts [2]. Furthermore, we suggest a study on how extensions of the underlying algebra of Quantum Mechanics allow for quantum mechanically avoiding singularities. The example the phase-space noncommutativity is indicated as a case study [3,4,5]. (continue if necessary) MAP-fis Physics Doctoral Program – [email protected] – http://www.map.edu.pt/fis Departamento e Física e Astronomia, Faculdade de Ciências da Universidade do Porto, 4169-007 Porto Portugal - Tel: +351 220402393 References (to allow students first look at topic) [1] See for instance, “The Large Scale Structure of Space-Time”, S. Hawking and G. Ellis (Cambridge University Press 1973). [2] Quantum black hole without singularity, C. Kiefer, arXiv:1512.08346 [gr-qc]. [3] Black Holes and Phase Space Noncommutativity, C. Bastos, O. Bertolami, N. Costa Dias, J. N. Prata, Phys. Rev. D80 (2009) 124038. [4] The singularity problem and phase-space noncanonical noncommutativity, C. Bastos, O. Bertolami, N. Costa Dias, J. N. Prata, Phys. Rev. D82 (2010) 041502. [5] Non-Canonical Phase-Space Noncommutativity and the Kantowski-Sachs singulatity for Black Holes, C. Bastos, O. Bertolami, N. Costa Dias, J. N. Prata, Phys. Rev. D84 (2011) 024005. MAP-fis Physics Doctoral Program – [email protected] – http://www.map.edu.pt/fis Departamento e Física e Astronomia, Faculdade de Ciências da Universidade do Porto, 4169-007 Porto Portugal - Tel: +351 220402393
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