We study a perturbation theory for embedding gravity equations in background which corrections to the function are linear with respect flat metric. The remaining arbitrariness after solving linearized field is fixed by an assumption that solution static second order. A nonlinear differential equation obtained, allows finding gravitational potential spherically symmetric case if given. An explic...

During drainage, as a voxel of porous material is being actively invaded prior to percolation, the invading nonwetting fluid cannot be transmitted neighboring downstream until critical saturation (Snc) reached. This occurs when forms percolating path across voxel. We present novel laboratory observations gravitationally stable, air/water drainage in thin bead packs, with 2D fields monitored at ...

In non-minimally coupled effective gravity theories one can have non-topological solitonic solutions. A typical solution is a spherical region with Geff = 0 outside and having the canonical Newtonian value inside. Such a spherical domain (gravity-ball) is characterized by an effective index of refraction which causes bending of light incident on it. The gravity ball thus acts as a spherical len...

The choice of the optimal spherical radial basis function (SRBF) in local gravity field modelling from terrestrial gravity data is investigated. Various types of SRBFs are considered: the point-mass kernel, radial multipoles, Poisson wavelets, and the Poisson kernel. The analytical expressions for the Poisson kernel, the point-mass kernel and the radial multipoles are well known, while for the ...

The differences between gravity anomalies and gravity disturbances are numerically investigated in this study. In particular, we demonstrate how the topography, atmosphere and mass irregularities enclosed within the geoid contribute to these differences. The numerical analysis is conducted at the area of study in the Canadian Rocky Mountains. Results reveal that the dominant contributions due t...

The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field is represented by gauge field. In leading order approximation, it gives out classical Newton’s theory of gravity. It can also give out Einstein’s field equation with cosmological constant. For classical tests, it gives o...

Satellite altimeters have mapped the marine geoid over virtually all of the world’s oceans. These geoid height measurements may be used to compute free air gravity anomalies in areas where shipboard measurements are scarce. Two-dimensional (2-D) transformations of geoid height to gravity are limited by currently availabie satellite track spacing and usually sacrifice short wavelength resolution...

The black hole final state proposal implements manifest unitarity in the process of black hole formation and evaporation in quantum gravity, by postulating a unique final state boundary condition at the singularity. We argue that this proposal can be embedded in the gauge/gravity context by invoking a path integral formalism inspired by the Schwinger-Keldysh like thermo-field double constructio...