Zero-point gravitational field equations

Gravitational field of a charged mass point.

Adopting, with Schwarzschild, the Einstein gauge ((munu) = -1), a solution of Einstein's field equations for a charged mass point of mass M and charge Q is derived, which differs from the Reissner-Nordstrøm solution only in that the variable r is replaced by R = (r(3) + a(3))((1/3)), where a is a constant. The Newtonian gravitational potential psi identical with (2/c(2))(1 - g(00)) obeys exactl...

The Zero - Point Field and Inertia

Gravitational Field of a Moving Spinning Point Particle

The gravitational and electromagnetic fields of a moving charged spinning point particle are obtained in the Lorentz covariant form by transforming the Kerr–Newman solution in Boyer–Lindquist coordinates to the one in the coordinate system which resembles the isotropic coordinates and then covariantizing it. It is shown that the general relativistic proper time at the location of the particle i...

Gravitational Field Equations in a Braneworld With Euler-Poincaré Term

We present the effective gravitational field equations in a 3-brane world with Euler-Poincaré term and a cosmological constant in the bulk spacetime. The similar equations on a 3-brane with Z2 symmetry embedded in a five dimensional bulk spacetime were obtained earlier by Maeda and Torii using the Gauss-Codazzi projective approach in the framework of the Gaussian normal coordinates. We recover ...

Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory

The field equations in the nonsymmetric gravitational theory are derived from a Lagrangian density using a first-order formalism. Using the general covariance of the Lagrangian density, conservation laws and tensor identities are derived. Among these are the generalized Bianchi identities and the law of energy-momentum conservation. The Lagrangian density is expanded to second-order, and treate...