We consider bulk antisymmetric tensor fields of various ranks in a Randall-Sundrum scenario. We show that, rank-2 onwards, the zero-modes of the projections of these fields on the (3+1) dimensional visible brane become increasingly weaker as the rank of the tensor increases. All such tensor fields of rank 4 or more are absent from the dynamics in four dimensions. This leaves only the zero-mode ...

The averaging problem in cosmology and the approach of macroscopic gravity to resolve the problem is discussed. The averaged Einstein equations of macroscopic gravity are modified on cosmological scales by the macroscopic gravitational correlation tensor terms as compared with the Einstein equations of general relativity. This correlation tensor satisfies a system of structure and field equatio...

We solve the nonlinear evolution of pressureless, irrotational density fluctuations in a perturbed Robertson-Walker spacetime using a new Lagrangian method based on the velocity gradient and gravity gradient tensors. Borrowing results from general relativity, we obtain a set of Newtonian ordinary differential equations for these quantities following a given mass element. Using these Lagrangian ...

background: accumulation of pleural and peritoneal fluid is seen in some diseases. in order to diagnose the disease and start the treatment, one of the most important actions will be to differentiate between exudates and transudates. the objective of this study was to determine the diagnostic value of measuring the specific gravity of the fluid through refractometer and strip in differentiation...

We construct a class of knot solutions the gravitoelectromagnetic (GEM) equations in vacuum linearized gravity approximation by analogy with Ra\~{n}ada-Hopf fields. For these solutions, dual metric tensors bi-metric geometry gravitational perturbations are given and geodesic equation as function two complex parameters GEM knots calculated. Finally, Landau--Lifshitz pseudo-tensor scalar invarian...

The quantum fluctuation of the stress tensor of a quantum field are discussed , as are the resulting spacetime metric fluctuations. Passive quantum gravity is an approximation in which gravity is not directly quantized, but fluctuations of the spacetime geometry are driven by stress tensor fluctuations. We discuss a decomposition of the stress tensor correlation function into three parts, and c...

has been a major hurdle on the use of these compensating potentials more generally in constrained MD simulations. Rigid internal constraints are used in molecular models to speed up molecular dynamics (MD) simulations. It is well recognized that This paper analyzes the structure of the compensating statistical averages from such constrained MD simulations differ by potential and its gradient an...

We consider some aspects of spontaneous breaking of Lorentz Invariance in field theories, discussing the possibility that the certain tensor operators may condensate in the ground state in which case the tensor Goldstone particles would appear. We analyze their dynamics and discuss to which extent such a theory could imitate the gravity. We are also interested if the universality of coupling of...