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- Marc Casals

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My research can be roughly divided into the following three areas:

(1) Self-force for Extreme Mass-Ratio Inspirals. The motion of a 'small', compact astrophysical object around a supermassive black hole deviates from geodesic motion due to the action of its own field - the self-force. I develop methods for the calculation of the self-force and the gravitational waveforms emitted during such inspiral. The main method I develop is the calculation of the self-force via the Green function of the wave equation for black hole perturbations.

(2) Quantum Field Theory in Curved Space-time. In the absence of a full theory of Quantum Gravity, one may gain a revealing insight into such a theory in the limit when the scales of the physical system are much larger than the Planck scales by quantizing the "matter" fields and treating the gravitational field classically. I investigate various quantum states of physical interest of the field in different curved space-times.

(3) Higher-dimensional Space-times. String theory suggests that our 4- dimensional world (the "brane") is embedded in a higher-dimensional spacetime (the "bulk") where the size of the extra dimensions may be as large as 1mm, leading to the thrilling prospect of creation of miniature, "brane" black holes in the Large Hadron Collider at CERN. Such black holes would emit Hawking radiation and would evaporate in only fractions of a second. I model the evaporation of rotating "brane" black holes.

- 2008 - 2010: School of Mathematical Sciences, Dublin City University, Ireland, and CENTRA-Instituto Superior Técnico, Lisboa, Portugal. Research Fellow
- 2005 - 2008: School of Mathematical Sciences, University College Dublin, Ireland. Postdoctoral Researcher
- 2003 - 2006: School of Mathematical Sciences, University College Dublin, Ireland. Fixed-Term Lecturer

- IRCSET Marie Curie Fellowship

- M.Casals, E.Poisson and I.Vega, "Regularization of Static Self-forces", Phys. Rev. D, 86, 2012, 064033, arXiv: 1206.3772 [gr-qc].
- M.Casals and A.C.Ottewill, "Spectroscopy of the Schwarzschild Black Hole at Arbitrary Frequencies", Phys. Rev. Lett., 109, 2012, 111101, arXiv: 1205.6592 [gr-qc].
- M.Casals and A.C.Ottewill, "The Branch Cut and Quasi-normal Modes at Large Imaginary Frequency in Schwarzschild Space-time", Phys. Rev. D, 86, 2012, 024021, arXiv: 1112.2695 [gr-qc].
- M.Casals and B.Nolan, "A Kirchhoff Integral Approach to the Calculation of Green Functions beyond the Normal Neighbourhood", Phys. Rev. D, 86, 2012, 024038, arXiv: 1204.0407 [gr-qc].
- "Analytic Investigation of the Branch Cut of the Green Function in Schwarzschild Space-time", M.Casals and A.C.Ottewill, arXiv: 1210.0519 [gr-qc].
- "Kermions: Quantization of Fermions on Kerr Space-time", M.Casals, S.Dolan, B.Nolan, A.Ottewill and E.Winstanley, arXiv: 1207.7089 [gr-qc].

- "Quantum Field Theory of Fermions on Kerr Black Holes", University of British Columbia, Vancouver, Canada.
- "Self-force for EMRIs", Canadian Institute for Theoretical Astrophysics, Toronto, Canada.
- "Quantum States for Fermions in Kerr", "21st Midwest Relativity Meeting" at University of Illinois at Urbana-Champaign, U.S.A.
- "Progress on the Method of Matched Expansions in Schwarzschild", "14th Capra Meeting on Radiation Reaction" at University of Southampton, England.

©2012 Institut Périmètre de Physique Théorique