Zobrazeno 1 - 10
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pro vyhledávání: '"Introduction to the mathematics of general relativity"'
Autor:
Øyvind Grøn
Publikováno v:
Undergraduate Texts in Physics ISBN: 9783030438616
Lecture Notes on the General Theory of Relativity ISBN: 9780387881331
Lecture Notes on the General Theory of Relativity ISBN: 9780387881331
Energy–momentum conservation for a Newtonian fluid in terms of the divergence of the energy momentum tensor can be shown as follows.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9433e03459846d409a4723da437a000b
https://doi.org/10.1007/978-3-030-43862-3_7
https://doi.org/10.1007/978-3-030-43862-3_7
Autor:
J. Kentosh
Publikováno v:
Physics Essays. 30:190-199
Autor:
David H. Sattinger
Publikováno v:
Monatshefte für Mathematik. 186:503-523
Einstein’s theory of relativity is based on the Principle of Equivalence, Hilbert’s on invariant theory and the calculus of variations. The two paradigms are not equivalent. Using the universality of Maxwell’s equations, Hilbert’s variational
Autor:
Carloni, Sante
Publikováno v:
Physics Letters B, Vol 766, Iss C, Pp 55-58 (2017)
Physics Letters B
Physics Letters B
We explore the idea that the coupling between matter and spacetime is more complex than the one originally envisioned by Einstein. We propose that such coupling takes the form of a new fundamental tensor in the Einstein field equations. We then show
Autor:
Daniel Wisnivesky
Publikováno v:
Journal of Modern Physics. :1152-1157
The standard theory of general relativity (GR) can be written in a form proposed by Eddington using the parametric representation of the metric tensor. In this paper, the equations of the standard theory of GR using the parametric representation are
Autor:
Nikolay Ivanovich Yaremenko
Publikováno v:
JOURNAL OF ADVANCES IN PHYSICS. 12:4291-4306
In this paper we study the geometry of space and applications of this space to general theory of relativity. In space we obtained analog Ricci - Jacobi identity; the geodesic lines equation have been researched; we introduced analog of Darboux theory
Autor:
Binaya K. Bishi, G. P. Singh
Publikováno v:
Iranian Journal of Science and Technology, Transactions A: Science. 41:809-817
This article deals with the study of particle creation and bulk viscous stress for the hypersurface-homogeneous cosmological model in the context of general theory of relativity. Here, the solutions of the Einstein’s field equations are reduced to
Autor:
Ákos G. Horváth
Publikováno v:
Universal Journal of Physics and Application. 10:115-127
In this paper we introduce the concept of timespace manifold. We study the affine connection, parallel transport, curvature tensor, and Einstein equation, respectively. In the case homogeneous, a time-space manifold with such tangent spaces which hav
Autor:
Thomas A. Moore
Publikováno v:
American Journal of Physics. 84:360-368
This article describes how one can use worksheets to guide undergraduate students through the process of finding solutions to specific cases of the Einstein equation of general relativity. The worksheets provide expressions for a metric's Christoffel
Autor:
Thomas Müller, Oliver Fechtig
Publikováno v:
American Journal of Physics. 84:375-383
In an advanced course on general relativity, some exotic spacetimes like wormholes with a more complex topology than the standard Schwarzschild spacetime can be studied in detail. In this regard, it has been pointed out by Morris and Thorne that worm