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The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
non-autonomous chiral model bidifferential calculus framework Ernst equation General Relativity
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2011/7/7
We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In...
The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
non-autonomous chiral model bidifferential calculus framework Ernst equation General Relativity
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2011/7/7
We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable PDDEs. In...
The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
The non-autonomous chiral model he Ernst equation the bidifferential calculus framework
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2011/7/28
Abstract: We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable...
Canonical Formulation of Spin in General Relativity
Dissertation canonical formalism spin post-Newtonian approximation binary stars
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2011/7/28
Abstract: The present thesis aims at an extension of the canonical formalism of Arnowitt, Deser, and Misner from self-gravitating point-masses to objects with spin. This would allow interesting applic...
Einstein's `Zürich Notebook' and his Journey to General Relativity
the gravitational field equations Einstein’s Z¨urich Notebook
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2011/8/29
On the basis of his ‘Z¨urich Notebook’ I shall describe a particularly fruitful phase in Einstein’s struggle on the way to general relativity. These
research notes are an extremely illuminating sourc...
Relativistic analogue of the D'Alembert principle of virtual displacements and the effective actions for the spherically-symmetric charged dust shell in General Relativity
Relativistic analogue D'Alembert principle of virtual displacements effective actions spherically-symmetric charged dust shell General Relativity
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2010/12/20
A simple and direct derivation of the variational principle and effective actions for a spherical charged dust shell in general relativity is offered. This principle is based on the relativistic versi...
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
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2010/12/27
An analysis of the work of Mira Fernandes on unitary theories is presented.
The Jet in the Galactic Center: An Ideal Laboratory for Magnetohydrodynamics and General Relativity
the Galactic Center An Ideal Laboratory Magnetohydrodynamics
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2011/1/11
In this paper we review and discuss some of the intriguing properties of the Galactic Center supermassive black hole candidate Sgr A*. Of all possible black hole sources, the event horizon of Sgr A*, ...
Tachyons in General Relativity
Tachyons in General Relativity math
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2010/11/24
We consider the motion of tachyons (faster-than-light particles) in the framework of General Relativity. An important feature is the large contribution of low energy tachyons to the energy-momentum te...
Tachyons in General Relativity
Tachyons General Relativity
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2010/12/21
We consider the motion of tachyons (faster-than-light particles)in the framework of General Relativity. An important feature is the large contribution of low energy tachyons to the energy-momentum ten...
Epicycles and Poincaré Resonances in General Relativity
Epicycles Poincaré Resonances General Relativity
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2010/12/20
The method of geodesic deviations provides analytic approximations to geodesics in arbitrary background space-times. As such the method is a useful tool in many practical situations. In this note we p...
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
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2010/12/21
Aureliano de Mira Fernandes, born in 1884 in Portugal, was professor of Differential and Integral Calculus and Rational Mechanics, at Instituto Superior T´ecnico,from its foundation in 1911, onw...
Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in General Relativity
Inversion of hyperelliptic integrals arbitrary genus application particle motion General Relativity
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2010/12/20
The description of many dynamical problems like the particle motion in higher dimensional
spherically and axially symmetric space-times is reduced to the inversion of a holomorphic hyperelliptic inte...
Dynamical effects of General Relativity on the satellite-to-satellite range and range-rate in the GRACE mission
Experimental studies of gravity Experimental tests of gravitational theories
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2010/11/16
We numerically investigate the impact of the General Theory of Relativity (GTR) on the
satellite-to-satellite range ρ and range-rate ρ˙ of the twin GRACE A/B spacecrafts through their dynamical equat...
Null Asymptotics of Solutions of the Einstein-Maxwell Equations in General Relativity and Gravitational Radiation
the Einstein-Maxwell Equations General Relativity
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2010/11/15
We prove that for spacetimes solving the Einstein-Maxwell (EM) equations, the electromagnetic field contributes at highest order to the nonlinear memory effect of gravitational waves. In [5] D. Christ...