CGCA Seminar: Dr. Charalampos Markakis

The Leonard E Parker Center for Gravitation, Cosmology and Astrophysics holds frequent seminars on a broad range of ongoing cosmology and gravitation research topics. Unless otherwise noted, seminars are on Friday afternoons at 1:00 PM in KIRC 2175; there is a gathering for a brown bag lunch at 12:30.

Acoustical metric and canonical fluid dynamics in numerical relativity
Dr. Charalampos Markakis, University of Illinois, Urbana-Champaign

Gravitational waves from neutron-star and black-hole binaries carry valuable information on their physical properties and probe physics inaccessible to the laboratory. Neutron stars can be well-modelled as simple barotropic fluids during the part of binary inspiral most relevant to gravitational wave astronomy, but the crucial geometric and mathematical consequences of this simplification have remained computationally unexploited. In particular, Carter and Lichnerowicz have described barotropic fluid motion via classical variational principles as conformally geodesic. Moreover, Kelvin’s circulation theorem implies that initially irrotational flows remain irrotational. Finally, the acoustical metric formulations of Christodoulou and Unruh can be utilized to evolve the Hamiltonian of a fluid element. Applied to numerical relativity, these concepts lead to novel Hamiltonian or Hamilton-Jacobi schemes for evolving fluid flows in numerical general relativity.