– We construct a kinematical analogue of superluminal travel in the “warped” space-times curved by gravitation, in the form of “super-phononic” travel in the effective spacetimes of perfect nonrelativistic fluids. These warp-field space-times are most easily generated by considering a solid object that is placed as an obstruction in an otherwise uniform flow. No violation of any condition on th...

We obtain an exact solution of the coupled Einstein-scalar-gauge field equations for a local infinitely long supermassive cosmic string. The solution corresponds to that of Hiscok-Gott. The string appears to be due to the freezing of the scalar field at the null value giving rise to a constant linear energy density.

In this work we investigate the asymptotic behaviour of solutions to Einstein equations with a minimally coupled scalar field. The primary focus present paper here establishing under what conditions solution becomes "asymptotically Kasner" sufficiently close initial singularity. To address question restrict our attention Bianchi I space-times. By restricting strictly monotonic field are able pr...

Some exact solutions for the Einstein field equations corresponding to inhomogeneous G 2 cosmologies with an exponential-potential scalar field which generalize solutions obtained previously are considered. Several particular cases are studied and the properties related to generalized inflation and asymptotic behaviour of the models are discussed.

A Poincaré gauge theory of (2+1)-dimensional gravity is developed. Fundamental gravitational field variables are dreibein fields and Lorentz gauge potentials, and the theory is underlain with the Riemann-Cartan space-time. The most general gravitational Lagrangian density, which is at most quadratic in curvature and torsion tensors and invariant under local Lorentz transformations and under gen...

This is an introductory survey of the theory of p-form conservation laws in field theory. It is based upon a series of lectures given at the Second Mexican School on Gravitation and In these lectures I will provide a survey of some aspects of the theory of local coho-mology in field theory and provide some illustrative applications, primarily taken from the Einstein equations of the general the...

We study an even dimensional manifold with a pseudo-Riemannian metric with arbitrary signature and arbitrary dimensions. We consider the Ricci flat equations and present a procedure to construct solutions to some higher (even) dimensional Ricci flat field equations from the four dimensional Ricci flat metrics. When the four dimensional Ricci flat geometry corresponds to a colliding gravitationa...