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General Covariance in General Relativity?

General Relativity and Gravitation, 1995
In the authors' words, ``the mathematical approach to general relativity insists that all coordinate systems are equal''. In contradiction to this ``doctrine'' the authors claim that, for some problems in general relativity, restriction to a subclass of coordinates is not only convenient to simplify calculations but even necessary to understand the ...
Ellis, G. F. R., Matravers, D. R.
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Local relative motion in general relativity

Canadian Journal of Physics, 1979
The distinction is drawn between problems in which single particle motion has physical significance and those in which relative motion between pairs of particles must be considered. Local relative motion is considered from the standpoint of the equation of geodesic deviation, expressed in arbitrary coordinates and in geodesic Fermi coordinates.
Cooperstock, F. I., Hobill, D. W.
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Black Hole Spectroscopy and Tests of General Relativity with GW250114.

Physical Review Letters
The binary black hole signal GW250114, the loudest gravitational wave detected to date, offers a unique opportunity to test Einstein's general relativity (GR) in the high-velocity, strong-gravity regime and probe whether the remnant conforms to the Kerr ...
A. Abac   +499 more
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Relativity: The Special and the General Theory

open access: yes, 2015
After completing the final version of his general theory of relativity in November 1915, Albert Einstein wrote a book about relativity for a popular audience. His intention was "to give an exact insight into the theory of relativity to those readers who,
A. Einstein
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Advanced Lectures on General Relativity

Lecture Notes in Physics, 2018
These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The 4 topics covered are (1) Surface charges as conserved quantities in theories of gravity; (2) Classical and ...
G. Compère, Adrien Fiorucci
semanticscholar   +1 more source

Topology in General Relativity

Journal of Mathematical Physics, 1967
A number of theorems and definitions which are useful in the global analysis of relativistic world models are presented. It is shown in particular that, under certain conditions, changes in the topology of spacelike sections can occur if and only if the model is acausal. Two new covering manifolds, embodying certain properties of the universal covering
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Observables in General Relativity

Reviews of Modern Physics, 1961
The notion of observable in general relativity differs profoundly from the corresponding concept in special relativity and in Newtonian physics. This is because in general relativity fixation of a frame of reference and gauge transformations are intertwined in a manner not encountered in any other area of physics.
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An introduction to general relativity: spacetime and geometry

Contemporary physics (Print), 2019
Originally published in 2003, Cambridge University Press has reissued this classic textbook, originally published by Pearson.
A. Resnick
semanticscholar   +1 more source

Lectures on General Relativity

General Relativity and Gravitation, 2002
The paper is a collection of 5 lectures of the author. The first part is devoted to the question of boundary conditions in gravitational radiation theory. For the gravitational radiation a condition similar to the ``Ausstrahlungsbedingung'' of Sommerfeld is suggested.
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Milestones of general relativity

Reports on Progress in Physics, 2016
We present a summary for non-specialists of the special issue of the journal Classical and Quantum Gravity on 'Milestones of general relativity', commemorating the 100th anniversary of the theory.
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