Conformal connection of scalar field is shown to produce possible non-metricity in affine connection spaces. In case of self-consistent solution the non-metricity is a correction to background Riemannian structure with respect to gravitational constant and its magnitude may be essential in the early Universe.

This paper presents novel manipulability analysis for robotic manipulators, taking the effect of generating joint torques on generable joint velocities and vice versa into consideration. The conventional manipulability is analysis in velocity domain and cannot concern force effect such as gravity of payload and external forces exerted on the endeffector. Gravitational force has been regarded th...

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object’s equations of motion (both conservative and dissipative) due to its own gravitational field, which is treated as a linear perturbation to the background Kerr...

The orbital period of the binary pulsar PSR 1937+16 has been observed to decrease at the rate of 2:40 10 12 s/s which agrees with the prediction of the quadropole formula for gravitational radiation to within one percent. Assuming that the energy carried away by radiation of other massless particles like scalars and pseudoscalar Nambu-Goldstone bosons is less than one percent of the gravitation...

Instead of imagining space-time as being warped by mass and energy, one can speak of a classical spin-2 graviton field (in flat, Minkowski space-time) that generates gravitation. Although we don’t know yet how to quantize this field, we can think of it in a way similar to how we think of electromagnetism being mediated by photons. And just as a 1/r2 Coulomb force generates magnetism when the fi...

Theories with compact extra dimensions have become increasingly popular. In some theories the standard model particles are confined to our four-dimensional world and only gravity can propagate in the extra dimensions. In these models the size of the extra dimensions can be as large as hundreds of microns. The functional dependence of the gravitational force on distance is well known at both lar...

We describe an optimized digital holographic microscopy system (DHM) suitable for high-resolution visualization of living cells under conditions of altered macroscopic mechanical forces such as those that arise from changes in gravitational force. Experiments were performed on both a ground-based microgravity simulation platform known as the random positioning machine (RPM) as well as during a ...

Chameleon scalar fields are dark-energy candidates which suppress fifth forces in high density regions of the Universe by becoming massive. We consider chameleon models as effective field theories and estimate quantum corrections to their potentials. Requiring that quantum corrections be small, so as to allow reliable predictions of fifth forces, leads to an upper bound m<0.0073(ρ/10 g cm(-3))(...

We show that when the gravitational force is correctly calculated in dealing with the vertical hydrostatic equilibrium of black hole accretion disks, the relationship that is valid for geometrically thin disks, i.e., c s /Ω K H = constant, where c s is the sound speed, Ω K is the Keplerian angular velocity, and H is the half-thickness of the disk, does not hold for slim disks. More importantly,...

We study convection of an incompressible Newtonian fluid heated from below in a two-dimensional domain of height H: the Bénard problem. The lower wall is maintained at a temperature θbottom and the upper wall is maintained at a temperature θtop, where θbottom > θtop . The governing equations are the (2D) Navier–Stokes equations under the Boussinesq approximation, in which all variations in phys...