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Such formulations of Einstein's field equations are the basis of numerical relativity.
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Our work is motivated by the field of numerical relativity, where Kranc is used as a research tool by the authors.
In the field of numerical relativity, powerful computers are employed to simulate the geometry of spacetime and to solve Einstein's equations for interesting situations such as two colliding black holes.
Summary of GR18 Numerical Relativity parallel sessions (B1/B2 and B2), Sydney, by Carsten Gundlach [2007/07] Black-hole mergers.
Moving grids are of interest in the numerical solution of hydrodynamical problems and in numerical relativity.
The Weak Equivalence Principle (WEP) is at the basis of General Relativity – the best theory for gravitation today.
The WEP, stating the independence of the gravitational acceleration a body is subject to from its mass and composition, is at the basis of general relativity theory and more in general of metric theories of gravitation.
The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues.
In this thesis we carry out a theoretical and numerical study of different 3+1 formulations of General Relativity (GR) which have direct applications to numerical relativity.
Manifold-valued data and manifold-valued functions play an important role in a wide variety of applications, including mechanics, computer vision and graphics, medical imaging, and numerical relativity.
A long-standing problem in numerical relativity is achieving long-term and stable numerical integration of the GR equations.
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