Application of discrete differential forms to spherically symmetric systems in general relativity
نویسندگان
چکیده
منابع مشابه
Application of Discrete Differential Forms to Spherically Symmetric Systems in General Relativity
In this article we describe how Discrete Differential Forms can be applied to spherically symmetric systems in GR. Three numerical schemes are introduced, the results of which are compared with the corresponding analytic solutions. The error of two schemes converge quadratically to zero. For one scheme the errors depend strongly on the initial data.
متن کاملDiscrete Differential Forms in General Relativity
A major obstacle in the numerical simulation of general relativistic space-times is the fact that coordinates have to be specified in order to obtain a well-defined numerical evolution. While the choice of coordinates has no impact on the geometry it does influence the evolution in ways which are rather difficult to predict. For this reason it might be useful to devise numerical procedures whic...
متن کاملPulsations of spherically symmetric systems in general relativity.
The pulsation equations for spherically symmetric black hole and soliton solutions are brought into a standard form. The formulae apply to a large class of field theoretical matter models and can easily be worked out for specific examples. The close relation to the energy principle in terms of the second variation of the Schwarzschild mass is also established. The use of the general expressions...
متن کاملGeometric Bounds in Spherically Symmetric General Relativity
We exploit an arbitrary extrinsic time foliation of spacetime to solve the constraints in spherically symmetric general relativity. Among such foliations there is a one parameter family, linear and homogeneous in the extrinsic curvature, which permit the momentum constraint to be solved exactly. This family includes, as special cases, the extrinsic time gauges that have been exploited in the pa...
متن کاملAveraging spherically symmetric spacetimes in general relativity
We discuss the averaging problem in general relativity, using the form of the macroscopic gravity equations in the case of spherical symmetry in volume preserving coordinates. In particular, we calculate the form of the correlation tensor under some reasonable assumptions on the form for the inhomogeneous gravitational field and matter distribution. On cosmological scales, the correlation tenso...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2006
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/24/2/010