Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant
نویسندگان
چکیده
منابع مشابه
Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations I. The conformal field equations
This is the first in a series of articles on the numerical solution of Friedrich’s conformal field equations for Einstein’s theory of gravity. We will discuss in this paper why one should be interested in applying the conformal method to physical problems and why there is good hope that this might even be a good idea from the numerical point of view. We describe in detail the derivation of the ...
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This is the second in a series of articles on the numerical solution of Friedrich’s conformal field equations for Einstein’s theory of gravity. We will discuss in this paper the numerical methods used to solve the system of evolution equations obtained from the conformal field equations. In particular we discuss in detail the choice of gauge source functions and the treatment of the boundaries....
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There are many ways of embedding a 4D spacetime in a given higher-dimensional manifold while, satisfying the field equations. In this work we extend and generalize a recent paper by Mashhoon and Wesson (Gen. Rel. Gravit. 39, 1403(2007)) by showing different ways of embedding a solution of the 4D Einstein equations, in vacuum with a cosmological constant, in a Ricci-flat, as well as in an anti-d...
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We discuss the issue of radiation extraction in asymptotically flat space-times within the framework of conformal methods for numerical relativity. Our aim is to show that there exists a well defined and accurate extraction procedure which mimics the physical measurement process. It operates entirely intrisically within J so that there is no further approximation necessary apart from the basic ...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1996
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/13/11/021