We determined the Newtonian constant of gravitation G by interferometrically measuring the change in spacing between two free-hanging pendulum masses caused by the gravitational field from large tungsten source masses. We find a value for G of (6.672 34±0.000 14)×10(-11)  m3  kg(-1)  s(-2). This value is in good agreement with the 1986 Committee on Data for Science and Technology (CODATA) value...

A covariant scalar-tensor-vector gravity theory is developed which allows the gravitational constant G, a vector field coupling ω and the vector field mass μ to vary with space and time. The equations of motion for a test particle lead to a modified gravitational acceleration law that can fit galaxy rotation curves without non-baryonic dark matter. The theory is consistent with solar system and...

Models with a scalar field coupled to the Gauss-Bonnet Lagrangian appear naturally from Kaluza-Klein compactifications of pure higher-dimensional gravity. We study linear, cosmological perturbations in the limits of weak coupling and slow-roll, and derive simple expressions for the main observable sub-horizon quantities: the anisotropic stress factor, the time-dependent gravitational constant, ...

A covariant scalar-tensor-vector gravity theory is developed which allows the gravitational constant G, a vector field coupling ω and the vector field mass μ to vary with space and time. The equations of motion for a test particle lead to a modified gravitational acceleration law that can fit galaxy rotation curves without non-baryonic dark matter. The theory is consistent with solar system obs...

An analysis of a spherically symmetric braneworld configuration is performed when the intrinsic curvature scalar is included in the bulk action; the vanishing of the electric part of the Weyl tensor is used as the boundary condition for the embedding of the brane in the bulk. All the solutions outside a static localized matter distribution are found; some of them are of the Schwarzschild-(A)dS4...

We present an orbifold compactification of the minimal seven-dimensional supergravity. The vacuum is a slice of seven-dimensional anti-de Sitter space where six-branes of opposite tension are located at the orbifold fixed points. The cancellation of gauge and gravitational anomalies restricts the gauge group and matter content on the boundaries. In addition, anomaly cancellation fixes the bound...

We studied the variation of Newton ́s gravitational constant G, using the experimental data and the scalar-tensor theory for gravitation. We search for a fine tunning to match the datas and find possible scenarios for the history of this constant.

A natural system of fundamental physical units c, fi, and wp is discussed, where с is the velocity of light, a is Planck's constant, and mv is the Planck mass, which is related to the Newtonian gravitational constant by the equation m\ = fic/G. In a natural system of units, such questions as: "How does the anthropic nature of the physical universe arise? Is it unique, or does an infinite set of...

The contribution to the phase of the atom interferometer caused by the gravity field of a massive test mass is considered. This contribution can be extracted by applying the double difference technique to measure the Newtonian gravitational constant G. Estimates and further calculations showed that after choosing the largest (given the current state of the art) multiphoton wave vector, the time...

In 1763, surveyors Charles Mason and Jeremiah Dixon set off from Philadelphia to demarcate the border between Pennsylvania and Maryland. On the other side of the Atlantic, British scientist Henry Cavendish worried about the effect of the Allegheny Mountains on Mason’s and Dixon’s measurements, which would eventually establish the famous Mason–Dixon line. Cavendish reasoned that the gravitationa...