Perturbation analysis provides the framework for an understanding of the effects of a small mass moving through a “background” spacetime. The analysis begins with a background spacetime metric gab which is usually a vacuum solution of the Einstein equations Gab(g) = 0. An object of small mass μ then disturbs the geometry by an amount hab = O(μ) which is governed by the perturbed Einstein equati...

Mesoscopic effects associated with wave propagation in spacetime with metric stochasticity are studied. We show that the scalar and spinor waves in a stochastic spacetime behave similarly to the electrons in a disordered system. Viewing this as the quantum transport problem, mesoscopic fluctuations in such a spacetime are discussed. The conductance and its fluctuations are expressed in terms of...

Energy Conservation: Particles (mass, momentum); Asymmetric Energy Forms Mass/Atomic Matter, Momentum; Bound EM Energy (asymmetric energy forms no antimatter) E = mcc; hv = mcc Time/History; Causality; "Karma"; Spacetime Metric; Entropic/Causal Conservation Domain of Matter; Time is Created From Space by Gravity, Producing "Spacetime" Hyperons, Nucleons, Baryons, Mesons, Quarks; Atomic Nucleus;...

Energy Conservation: Particles (mass, momentum); Asymmetric Energy Forms Mass/Atomic Matter, Momentum; Bound EM Energy (asymmetric energy forms no antimatter) E = mcc; hv = mcc Time/History; Causality; "Karma"; Spacetime Metric; Entropic/Causal Conservation Domain of Matter; Time is Created From Space by Gravity, Producing "Spacetime" Hyperons, Nucleons, Baryons, Mesons, Quarks; Atomic Nucleus;...

Particle's acceleration in static homogeneous gravitational field is cancelled by any reference frame of the same accelerating direction and the same accelerating rate. The frame is commonly called the freely-falling one. The present paper shows that the acceleration is also cancelled by a spatial curvilinear coordinate system. The coordinate system is simply a spatial square-root coordinate re...

The procedure to find gauge invariant variables for two-parameter nonlinear perturbations in general relativity is considered. Up to third order perturbations, it is shown that appropriate combinations of nonlinear metric perturbations and lower order one are transformed as the gauge transformation of linear order metric perturbations. This implies that gauge invariant variables for the higher ...

The production probability of an e− − e+ pair in the presence of a strong, uniform and slowly varying magnetic field is calculated by taking into account the presence of a background gravitational field. The curvature of the spacetime metric induced by the gravitational field not only changes the transition probabilities calculated in the Minkowski spacetime but also primes transitions that are...

The production probability of an e− − e+ pair in the presence of a strong, uniform and slowly varying magnetic field is calculated by taking into account the presence of a background gravitational field. The curvature of the spacetime metric induced by the gravitational field not only changes the transition probabilities calculated in the Minkowski spacetime but also primes transitions that are...

Following the use of approximate symmetries for the Schwarzschild spacetime by A.H. Kara, F.M. Mahomed and A. Qadir (Nonlinear Dynam., to appear), we have investigated the exact and approximate symmetries of the system of geodesic equations for the Reissner–Nordström spacetime (RN). For this purpose we are forced to use second order approximate symmetries. It is shown that in the second-order a...

Abstract We revisit the connection between trajectories of accelerated mirrors and spacetime metrics. present general (1 + 1)D effective metric that can be obtained with a fibre-optical analogue through Kerr effect. Then we introduce new optical metric. In particular, connect them for two specific trajectories: first one is black mirror perfectly recreates Schwarzchild spacetime. The second Sch...