Topic
Special relativity (alternative formulations)
About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: A simpler but approximate scheme for systems near equilibrium, such as binary neutron stars, is proposed and tested on isolated, rapidly rotating, relativistic stars.
Abstract: Solving dynamical problems in general relativity requires the full machinery of numerical relativity. Wilson has proposed a simpler but approximate scheme for systems near equilibrium, such as binary neutron stars. We test the scheme on isolated, rapidly rotating, relativistic stars. Since these objects are in equilibrium, it is crucial that the approximation works well if we are to believe its predictions for more complicated systems such as binaries. Our results are very encouraging.
67 citations
TL;DR: Conditions are found for the existence of integral constraints on stress-energy perturbations in general relativity using a vector field V, and the Robertson-Walker spacetimes are shown to have such constraint vectors.
Abstract: Conditions are found for the existence of integral constraints on stress-energy perturbations in general relativity. The integral constraints can be thought of as a general-relativistic generalization of the conservation of energy and momentum of matter perturbations in special relativity. The constraints are stated in terms of a vector field V\ensuremath{\rightarrow}, and the Robertson-Walker spacetimes are shown to have such constraint vectors. Although in general V\ensuremath{\rightarrow} is not a Killing vector, in a vacuum spacetime the constraint vectors are precisely the Killing vectors.
66 citations
TL;DR: In this article, two new transformations between inertial frames that apply for relative velocities greater than the speed of light are proposed, which are complementary to the Lorentz transformation.
Abstract: We propose here two new transformations between inertial frames that apply for relative velocities greater than the speed of light, and that are complementary to the Lorentz transformation, giving ...
66 citations