Mohammed Khalil

PhD Student
Astrophysical and Cosmological Relativity
Location Potsdam
+49 331 567-7113
+49 331 567-7298

Main Focus

My research focuses on analytical approximation methods for the dynamics of spinning compact binaries, with the goal of improving gravitational waveform models, and exploring the signatures of modified theories of gravity on gravitational-wave observations.

In particular, I am interested in pushing to higher orders the post-Newtonian approximation (small-velocity expansion) for binaries in generic orbits and with precessing spins. In doing so, I try to employ results obtained in other approximation methods, namely the post-Minkowskian approximation (valid for large separations) and the self-force approach (an expansion in the mass ratio).

As for waveform models, I am interested in the effective-one-body formalism, which combines information from all analytical approximation methods with numerical relativity results.  My work focuses on including higher orders and improving the description of orbital eccentricity and spin precession.

In modified gravity, I worked on Einstein-Maxwell-dilaton theory, and derived the equations governing the dynamics and waveform at next-to-leading order. I also worked on developing a theory-agnostic framework for describing the scalarization of compact binaries: a phenomenon in several modified theories of gravity in which compact objects undergo a phase transition in the strong-field regime that can leave an imprint on gravitational wave observations.

Here are links to my publications: from INSPIRE, and from the ADS database.

Curriculum Vitae

I received my BSc degree from Alexandria University in 2016. During my undergraduate study, I did research on some of the phenomenology expected from a quantum theory of gravity, such as the implications of a minimum measurable length scale. In August 2016, I started my PhD at the University of Maryland, College Park, and in January 2018, I joined Prof. Buonanno’s group at the AEI.

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