Scalar gravitation: A laboratory for numerical relativity
نویسندگان
چکیده
منابع مشابه
A radiation scalar for numerical relativity.
This Letter describes a scalar curvature invariant for general relativity with a certain, distinctive feature. While many such invariants exist, this one vanishes in regions of space-time which can be said unambiguously to contain no gravitational radiation. In more general regions which incontrovertibly support nontrivial radiation fields, it can be used to extract local, coordinate-independen...
متن کاملLectures for VII Mexican School on Gravitation and Mathematical Physics Relativistic Astrophysics and Numerical Relativity Numerical Analysis for Numerical Relativists
1 Basic Finite Difference Techniques for Time Dependent PDEs 2 1.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Types of IVPs (by example) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2.1 Wave and “Wave-Like” (“Hyperbolic”): The 1-d Wave Equation . . . . . . . . . . . . 3 1.2.2 Diffusion (“Paraboli...
متن کاملScalar Gravitation and Extra Dimensions
Gunnar Nordström constructed the first relativistic theory of gravitation formulated in terms of interactions with a scalar field. It was an important precursor to Einstein’s general theory of relativity a couple of years later. He was also the first to introduce an extra dimension to our spacetime so that gravitation would be just an aspect of electromagnetic interactions in five dimensions. H...
متن کاملNumerical Relativity: A review
Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of General Relativity, numerical models have proved extremely valuable for investigations of strong field scenarios and been crucial to reveal unexpected phenomena. Considerable efforts are being spent to simulate astrophysically relevant simulations,...
متن کاملNumerical Relativity
Solutions to Einstein’s equations of general relativity describe, among other things, the generation and propagation of gravitational waves. Interest in numerical relativity has been bolstered by the recent construction of gravitational wave observatories such as LIGO (the Laser Interferometric Gravitational-wave Observatory). This NSF-supported project consists of two observatories (near Hanfo...
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: Physical Review D
سال: 1993
ISSN: 0556-2821
DOI: 10.1103/physrevd.47.1529