Observational cosmology using characteristic numerical relativity: Characteristic formalism on null geodesics
نویسندگان
چکیده
منابع مشابه
Cauchy-characteristic extraction in numerical relativity.
We treat the calculation of gravitational radiation using the mixed timelike-null initial value formulation of general relativity. The determination of an exterior radiative solution is based on boundary values on a timelike worldtube Γ and on characteristic data on an outgoing null cone emanating from an initial cross-section of Γ. We present the details of a 3-dimensional computational algori...
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Nigel T. Bishop, Roberto Gómez, Luis Lehner, Manoj Maharaj, and Jeffrey Winicour Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 Center for Relativity, The University of Texas at Austin, Austin, Texas 78712 Department o...
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The characteristic approach to numerical relativity is a useful tool in evolving gravitational systems. In the past this has been implemented using two patches of stereographic angular coordinates. In other applications, a six-patch angular coordinate system has proved effective. Here we investigate the use of a sixpatch system in characteristic numerical relativity, by comparing an existing tw...
متن کاملThe gravitational wave strain in the characteristic formalism of numerical relativity
The extraction of the gravitational wave signal, within the context of a characteristic numerical evolution is revisited. A formula for the gravitational wave strain is developed and tested, and is made publicly available as part of the PITT code within the Einstein Toolkit. Using the new strain formula, we show that artificial nonlinear drifts inherent in time integrated waveforms can be reduc...
متن کاملThe incorporation of matter into characteristic numerical relativity
A code that implements Einstein equations in the characteristic formulation in 3D has been developed and thoroughly tested for the vacuum case. Here, we describe how to incorporate matter, in the form of a perfect fluid, into the code. The extended code has been written and validated in a number of cases. It is stable and capable of contributing towards an understanding of a number of problems ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2012
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.85.044016