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G4: Numerical Relativity

Principal Investigators: Ansorg, Brügmann, Meinel

The research group in Numerical Relativity investigates the simulation of black hole binaries. The numerical solution of the full Einstein equations, which form a system of ten non-linear, coupled partial differential equations, is a complex problem, and for black holes there is the additional issue of the spacetime singularity inside the black holes. The two-body problem of general relativity remained mostly unsolved for many years, but recently several breakthroughs have been achieved. Project G4 focuses on the last ten orbits before the collision and merger of the black holes, and the primary goal is the computation of the gravitational waves generated in the process.

further information (german)

Examples of Ph.D. topics

  1. Pseudosprektralmethode für die Orbitalbewegung zweier Schwarzer Löcher
  2. Optimierte Anfangsdaten für exzentrische Orbits von Neutronensternen und Schwarzen Löchern
  3. Gravitationswellen von oszillierenden Neutronensternen auf exzentrischen Orbits


R. Gold, S. Bernuzzi, M. Thierfelder, B. Bruegmann, F. Pretorius
Eccentric binary neutron star mergers
arXiv:1109.5128 [gr-qc], Sep 2011

A. Weyhausen, S. Bernuzzi, D. Hilditch
Constraint damping for the Z4c formulation of general relativity
Phys.Rev. D85 (2012) 024038, arXiv:1107.5539 [gr-qc], Sep 2011

U. Sperhake, B. Brügmann, D. Müller, C. F. Sopuerta
Black-hole binaries go to eleven orbits
arXiv:1012.3173 [gr-qc], Dec 2010

M. Hannam, S. Husa, F. Ohme, D. Müller, B. Brügmann
Simulations of black-hole binaries with unequal masses or nonprecessing spins: Accuracy, physical properties, and comparison with post-Newtonian results
Phys.Rev.D82:124008, 2010, arXiv:1007.4789 [gr-qc], Jul 2010

D. Müller, J. Grigsby, B. Brügmann
Dynamical shift condition for unequal mass black hole binaries
Phys.Rev.D82:064004, 2010, arXiv:1003.4681 [gr-qc], Mar 2010

D. Müller, B. Brügmann
Toward a dynamical shift condition for unequal mass black hole binary simulations
Class.Quant.Grav.27:114008, 2010, arXiv:0912.3125 [gr-qc], Dec 2009

R. Gold, B. Bruegmann
Radiation from low-momentum zoom-whirl orbits
arXiv:0911.3862 [gr-qc], Nov 2009