The relationship between uniformly accelerated reference frames in flat spacetime and the uniform gravitational field is examined in a relativistic context. It is shown that, contrary to previous statements in the pages of this journal, equivalence does not break down in this context. No restrictions to Newtonian approximations or small enclosures are necessary.

This proceedings is from a talk given at the APS DPF 2013 on a 5dimensional brane world model. This alternative brane world model is formally related but physically distinct from the Randall-Sundrum brane world model. The spin dependent localization of 5D fields for the alternative model are different and in some ways superior to the Randall-Sundrum. The alternative model also exhibits a cutoff in the localization of massive scalar fields not seen in the Randall-Sundrum model. This revision includes a correction to the integrand for the scalar field action appearing in the principle reference [1].

The equation for the conic sections describing the possible orbits in a potential V ∼ r −1 is obtained by means of a vector constant of the motion differing from the traditional Laplace-RungeLenz vector. 1The Laplace-Runge-Lenz 1,2,3,4 (or Hermann-Bernoulli-Laplace 5 ) vector provides a simple

The problem of finding all the orbits of test particles in the exterior Schwarzschild black hole metric has an exact solution in terms of elliptic functions. In this paper, we develop in detail the case of massless particles, including a derivation of an exact formula for the deflection of light. It is shown that the mass of the black hole can be determined from a simple relationship between the angular deflection and the time delay of neighboring light rays.

Invariant projection of the energymomentum tensors for field theories in spaces with affine connection and metric