A point particle of mass μ moving on a geodesic creates a perturbation hab, of the spacetime metric gab, that diverges at the particle. Simple expressions are given for the singular μ/r part of hab and its tidal distortion caused by the spacetime. This singular part hab is described in different coordinate systems and in different gauges. Subtracting hab from hab leaves a regular remainder hab....

A point particle of mass μ moving on a geodesic creates a perturbation hab, of the spacetime metric gab, that diverges at the particle. Simple expressions are given for the singular μ/r part of hab and its distortion caused by the spacetime. This singular part hS ab is described in different coordinate systems and in different gauges. Subtracting hS ab from hab leaves a regular remainder h R ab...

Since general relativity is a consistent low energy effective field theory, it is possible to compute quantum corrections to classical forces. Here we compute a quantum correction to the gravitational potential between a pair of polarizable objects. We study two distant bodies and compute a quantum force from their induced quadrupole moments due to two-graviton exchange. The effect is in close ...

We review recent theoretical progress in the so-called self-force problem of a general relativistic two-body system. Although a two-body system in Newtonian gravity is a very simple problem, some fundamental issues are involved in relativistic gravity. Besides, because of recent projects for gravitational wave detection, it has become possible to see those phenomena directly via gravitational w...

In this paper we propose an implicit force control scheme for a one-link flexible manipulator that interact with a compliant environment. The controller was based in the mathematical model of the manipulator, considering the dynamics of the beam flexible and the gravitational force. With this method, the controller parameters are obtained from the structural parameters of the beam (link) of the...

We explore how the gravitational self force (or “radiation reaction” force), acting on a pointlike test particle in curved spacetime, is modified in a gauge transformation. We derive the general transformation law, describing the change in the self force in terms of the infinitesimal displacement vector associated with the gauge transformation. Based on this transformation law, we extend the re...

– We study the (newtonian) gravitational force distribution arising from a fractal set of sources. We show that, in the case of real structures in finite samples, an important role is played by morphological properties and finite size effects. For dimensions smaller than d − 1 (being d the space dimension) the convergence of the net gravitational force is assured by the fast decaying of the den...

We propose a practical scheme for calculating the local gravitational self-force experienced by a test mass particle moving in a black hole spacetime. The method—equally effective for either weak or strong field orbits—employs the mode-sum regularization scheme previously developed for a scalar toy model. The starting point for the calculation, in this approach, is the formal expression for the...

In 1992, E.E.Podkletnov and R.Nieminen find that, under certain conditions, ceramic superconductor with composite structure has revealed weak shielding properties against gravitational force. In classical Newton’s theory of gravity and even in Einstein’s general theory of gravity, there are no grounds of gravitational shielding effects. But in quantum gauge theory of gravity, the gravitational ...

virial theorem is important for understanding stellar structures. it produces an interesting connection between magnetic and gravitational energies. using the general form of the virial theorem including the magnetic field (toroidal magnetic field), we may explain the solar dynamo model in relation to variations of the magnetic and gravitational energies. we emphasize the role of the gravitatio...