Four-force

About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.

Cheeger-Gromov Theory and Applications to General Relativity

Abstract: This paper surveys aspects of the convergence and degeneration of Riemannian metrics on a given manifold M, and some recent applications of this theory to general relativity. The basic point of view of convergence/degeneration described here originates in the work of Gromov, cf. [31]—[33], with important prior work of Cheeger [16], leading to the joint work of [18].

Exact solution of a static charged sphere in general relativity

Abstract: An exact solution of the field equations of general relativity is obtained for a static, spherically symmetric distribution of charge and mass. Their physical properties are studied in some detail. Our solution includes as special cases the results given previously by Cooperstock and De La Cruz, Mehra and Bohra, Santos, and Shi-Chang.

Some remarks on classical electromagnetism and the principle of relativity

Abstract: In connection with a note by Rindler on relativity and electromagnetism, it is shown that classically interpreted electromagnetism and special relativity already diverge in their predictions on the behavior of a very simple electrodynamical system, even for ‘‘low’’ velocities.

Revisiting the classical electron model in general relativity

Abstract: Motivated by earlier studies (Tiwari et al. in Astrophys. Space Sci. 182:105, 1984; Herrera and Varela in Phys. Lett. 189:11, 1994), we model electron as a spherically symmetric charged perfect fluid distribution of matter. The existing model is extended assuming a matter source that is characterized by quadratic equation of state in the context of general theory of relativity. For the suitable choices of the parameters, our charged fluid models almost satisfy the physical properties of electron.

Dual Foliation Formulations of General Relativity

Abstract: A dual foliation treatment of General Relativity is presented The basic idea of the construction is to consider two foliations of a spacetime by spacelike hypersurfaces and relate the two geometries The treatment is expected to be useful in various situations, and in particular whenever one would like to compare objects represented in different coordinates Potential examples include the construction of initial data and the study of trapped tubes It is common for studies in mathematical relativity to employ a double-null gauge In such studies local well-posedness is treated by referring back, for example, to the generalized harmonic formulation, global properties of solutions being treated in a separate formalism As a first application of the dual foliation formulation we find that one can in fact obtain local well-posedness in the double-null coordinates directly, which should allow their use in numerical relativity with standard methods With due care it is expected that practically any coordinates can be used with this approach