General teleparallel metrical geometries

Wormhole geometries in modified teleparallel gravity and theenergy conditions

Density Functional for General Geometries

A scheme within density functional theory is proposed that provides a practical way to generalize to unrestricted geometries the method applied with some success to layered geometries [H. Rydberg, et al., Phys. Rev. Lett. 91, 126402 (2003)]. It includes van der Waals forces in a seamless fashion. By expansion to second order in a carefully chosen quantity contained in the long range part of the...

General Self-dual Lorentzian Wormholes in Teleparallel Theory of Gravity

We find the most general Self-dual Lorentzian Wormholes in a special class of teleparallel theory of gravitation. The spacetime of these wormholes is a static and it includes the Schwarzschild black hole, a family of naked singularity and a disjoint family of Lorentzian wormholes all of which have a vanishing scalar curvature R({}). The stability is studied using the equations of geodesic devia...

General Differential Geometries and Related Topics*

space E we mean an m-differentiable manifold H with coordinates in a space T such that (1) T is a space E and H has allowable k coordinate systems^ (2) the differentials of the coordinate transformations possess adjoints with respect to the inner product [x, y] of E at each point of their domains of definition; (3) there exists a covariant vector field valued linear form, called a metric form, ...

On a General Class of Wormhole Geometries

A general class of solutions is obtained which describe a spherically symmetric wormhole system. The source of the stress-energy supporting the structure consists of an anisotropic brown dwarf “star” which smoothly joins vacuum and may possess arbitrary cosmological constant. It is demonstrated how this set of solutions allow for a non-zero energy density and therefore positive stellar mass as ...