The analog of the Schwarzschild metric is explored in the context of NonSingular Gravity. Analytic results are developed describing redshifts, curvatures and topological features of the spacetime. Typeset using REVTEX

A simple model of spacetime foam, made by N wormholes in a semiclassical approximation, is taken under examination. We show that the qualitative behaviour of the fluctuation of the metric conjectured by Wheeler is here reproduced.

A criterion for a spacelike hypersurface in a conformally stationary spacetime to be a Cauchy hypersurface is given. The criterion is based on the forward and the backward completeness of a non-reversible Finsler metric associated to the hypersurface.

The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ? in connection conformal Ricci–Yamabe metric and ?-Ricci–Yamabe metric. We delineate conditions for soliton be expanding, steady or shrinking. also discuss on some special types such as dust fluid, dark radiation era. Furthermore, we design find its characteristics lastly...

Much of twentieth century physics, whether it be Classical or Quantum, has been based on the concept of spacetime as a differentiable manifold. While this work has culminated in the standard model, it is now generally accepted that in the light of recent experimental results, we have to go beyond the standard model. On the other hand Quantum SuperString Theory and a recent model of Quantized Sp...

In this work, I review some aspects concerning the evolution of quantum lowenergy fields in a foamlike spacetime, with involved topology at the Planck scale but with a smooth metric structure at large length scales, as follows. Quantum gravitational fluctuations may induce a minimum length thus introducing an additional source of uncertainty in physics. The existence of this resolution limit ca...

We investigate the dynamics of a Yang-Mills cosmology (YMC, the FRW type spacetime) bubble in the Bartnik-McKinnon (BK) spacetimes. Because a BK spacetime can be identified to a YMC spacetime with a finite scale factor in the neighborhood of the origin, we can give a natural initial condition for the YMC bubble. The YMC bubble can smoothly emerge from the origin without an initial singularity. ...

The geometry of the Sagnac effect in a stationary region spacetime is reviewed with aim emphasizing role asymmetry Finsler metric defined on spacelike hypersurface associated to splitting and related future-pointing null geodesics spacetime. We show also that an analogous comes into play for timelike geodesics.