The quantum field theory of gravitation is constructed in terms of Lagrangian density of Dirac fields which couple to the electromagnetic field Aμ as well as the gravitational field G. The gravity appears in the mass term as m(1+gG)ψ̄ψ with the coupling constant of g. In addition to the gravitational force between fermions, the electromagnetic field Aμ interacts with the gravity as the fourth or...

Problems in R are addressed where the scalar potential of an associated vector field satisfies Laplace’s equation in some unbounded external region and is to be approximated by unknown (point) sources contained in the complimentary subregion. Two specific field geometries are considered: R half-space and the exterior of an R sphere, which are the two standard settings for geophysical and geoexp...

Gravity theory is the basis of modern cosmological models. Thirring-Feynman’s tensor field approach to gravitation is an alternative to General Relativity (GR). Though Field Gravity (FG) approach is still developing subject, it opens new understanding of gravitational interaction, stimulates novel experiments on the nature of gravity and gives possibility to construct new cosmological models in...

The first 111 days of preliminary data from GRACE were used to produce a map of the Earth’s gravity anomalies. A gravity anomaly map shows us how much the actual Earth’s gravity field departs from “normal” as defined by a simplified mathematical gravity model that assumes the Earth is perfectly smooth and featureless. In this grayscale representation, brighter areas represent positive gravity a...

The evaporation of water drop deposited on a horizontal substrate is investigated using a lattice Boltzmann method (LBM) for multiphase flows with a large-density ratio. To account for the variation of evaporation flux distribution along the drop interface, a novel evaporation scheme is introduced into the LBM framework, and validated by comparison with experimental data. We aim at discovering ...

A new vector field is introduced into 2-form Einstein gravity in four dimensions to restore a large symmetry of its topological version. Two different expressions for the BRST charge are given in the system: one of them associated with a set of irreducible symmetries and the other with a set of on-shell reducible symmetries. ⋆ e-mail address: [email protected] † e-mail address: tatsuya@ph...

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 launch of SELENE, which acquired the first direct tracking data over the farside of the Moon by the use of 4-way Doppler data between a relay satellite and the main satellite, has resulted in a dramatic improvement of the knowledge of the global lunar gravity field[1,2]. In addition to the 4-way Doppler data, same-beam differential VLBI data between the two sub-satellites and two stations o...