Manu B. Paranjape

Classical tests for Weyl gravity: Deflection of light and radar echo delay

Weyl gravity has been advanced in the recent past as an alternative to General Relativity (GR). The theory has had some success in fitting galactic rotation curves without the need for copious amounts of dark matter. To check the viability of Weyl gravity, we propose two additional classical tests of the theory: the deflection of light and time delay in the exterior of a static spherically symmetric source. The result for the deflection of light is remarkably simple: besides the usual positive (attractive) Einstein deflection of

Recent mathematical developments in the Skyrme model

4GM/r_{0}

Solitons in a baby-Skyrme model with invariance under area-preserving diffeomorphisms

we obtain an extra deflection term of

Spontaneous breaking of conformal invariance in theories of conformally coupled matter and Weyl gravity

-\gamma r_{0}

Tunneling decay of false vortices

where

Fate of the false monopoles: Induced vacuum decay

\gamma

On the Coleman-Hill theorem

is a constant and

From Q-walls to Q-balls

r_0

Spontaneous symmetry breaking and the renormalization of the Chern-Simons term

is the radius of closest approach. With a negative

Violations of the string hypothesis in the solutions of the Bethe ansatz equations in the XXX-Heisenberg model

\gamma