Results 31 to 40 of about 263,053 (273)
The 3+1 formalism in teleparallel and symmetric teleparallel gravity
European Physical Journal C: Particles and Fields, 2021 Teleparallel and symmetric teleparallel gravity offer platforms in which gravity can be formulated in interesting geometric approaches, respectively given by torsion and nonmetricity. In this vein, general relativity can be expressed in three dynamically
Salvatore Capozziello +3 more
doaj +1 more source
GENERALIZED SPACES OF GENERAL RELATIVITY [PDF]
Proceedings of the National Academy of Sciences, 1959 1. This paper is a revision of the paper with the same title which was published a year ago. The paper deals with a space of four dimensions V4 of coordinates xi as i takes the values 1 to 4. The geometry of the space is based upon the asymmetric functions gij and the asymmetric coefficients of connection Prk and upon the Einsteinm equation2 gij,k ...
openaire +2 more sources
POINTLESS SPACES IN GENERAL RELATIVITY [PDF]
, 1995 The new approach to quantize the gravity based on the notion of differential algebra is suggested. It is shown that the differential geometry of this object can not be described in terms of points.
C. J. Isham +10 more
core +3 more sources
Anisotropic Stars in General Relativity [PDF]
, 2001 We present a class of exact solutions of Einstein's gravitational field equations describing spherically symmetric and static anisotropic stellar type configurations. The solutions are obtained by assuming a particular form of the anisotropy factor.
Harko, T., Mak, M. K.
core +5 more sources
Mathematical general relativity [PDF]
General Relativity and Gravitation, 2019 We present a number of open problems within general relativity. After a brief introduction to some technical mathematical issues and the famous singularity theorems, we discuss the cosmic censorship hypothesis and the Penrose inequality, the uniqueness of black hole solutions and the stability of Kerr spacetime and the final state conjecture, critical ...
openaire +2 more sources
Universe, 2017 Dark matter is probably the most fascinating enigma of modern physics [...]
Salvatore Capozziello
doaj +1 more source
Mathematical general relativity: a sampler [PDF]
, 2010 We provide an introduction to selected recent advances in the mathematical understanding of Einstein's theory of gravitation.Comment: Some updates. A shortened version, to appear in the Bulletin of the AMS, is available online at http://www.ams.org ...
Chruściel, Piotr T. +2 more
core +2 more sources
GPS observables in general relativity [PDF]
, 2001 I present a complete set of gauge invariant observables, in the context of general relativity coupled with a minimal amount of realistic matter (four particles). These observables have a straightforward and realistic physical interpretation. In fact, the
A. Einstein +16 more
core +3 more sources
General Relativity today [PDF]
, 2007 49 pages, 5 figures, talk given at the Poincar\'e Seminar ``Gravitation et Exp\'erience'' (28 October 2006, Paris); to appear in the proceedings to be published by Birkh ...
openaire +2 more sources
A logic road from special relativity to general relativity
, 2011 We present a streamlined axiom system of special relativity in first-order logic. From this axiom system we "derive" an axiom system of general relativity in two natural steps. We will also see how the axioms of special relativity transform into those of
A. Tarski +16 more
core +1 more source