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On the Local Existence for the Characteristic Initial Value Problem in General Relativity
Characteristic Initial Value Problem General Relativity Analysis of PDEs
2011/9/29
Abstract: Given a truncated incoming null cone and a truncated outgoing null cone intersecting at a two sphere $S$ with smooth characteristic initial data, a theorem of Rendall shows that the vacuum E...
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
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
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...
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...
Null Asymptotics of Solutions of the Einstein-Maxwell Equations in General Relativity and Gravitational Radiation
the Einstein-Maxwell Equations General Relativity
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...
Cylindrically Symmetric Scalar Field and its Lyapunov stability in General Relativity
Cylindrically Symmetric Scalar Field Lyapunov stability
2010/11/26
In this paper we found an Exact solution for massless scalar field with cosmological constant.This exact solution generalized the Levi-Civita vacuum solution[8] to a massless scalar field,with a cosmo...
Equations of motion in General Relativity and Quantum Mechanics
non-geodesic motion Dirac equation equations of motion Maxwell-Boltzmann distribution
2010/12/16
In a previous article a relationship was established between the linearized metrics of General Relativity associated with geodesics and the Dirac Equation of quantum mechanics.
Grand canonical ensembles in general relativity
relativistic Gibbs state Fermi coordinates grand canonical ensemble ideal gas
2010/12/9
We develop a formalism for general relativistic, grand canonical ensembles in space-times with timelike Killing fields. Using that formalism we derive ideal gas laws, and show how they depend on the g...
TransverseDiff gravity is to scalar-tensor as unimodular gravity is to General Relativity
TransverseDiff gravity scalar-tensor unimodular gravity General Relativity
2010/12/15
Transverse Diffeomorphism (TDiff) theories are well-motivated theories of gravity from the quantum perspective, which are based upon a gauge symmetry principle. The main contribution of this work is t...
In this short survey paper, we discuss certain recent results in classical gravity. Our main attention is restricted to two topics: the positive mass conjecture and its extensions to the case with ho...