The biased Dicke model describes a system of biased two-level atoms coupled to a bosonic field, and is expected to produce new phenomena that are not present in the original Dicke model. In this paper, we study the critical properties of the biased Dicke model in the classical oscillator limits. For the finite-biased case in this limit, We present analytical results demonstrating that the excit...

Helios Sanchis-Alepuz Institut für Physik, Karl-Franzens-Universität Graz, Austria (Received 20 December 2010; published 19 May 2011) We study the Hamiltonian formulation of fðRÞ theories of gravity both in metric and in Palatini formalism using their classical equivalence with Brans-Dicke theories with a nontrivial potential. The Palatini case, which corresponds to the ! 1⁄4 3=2 Brans-Dicke th...

We consider axially symmetric SU(2) Yang-Mills-Higgs (YMH) multi-monopoles in Brans-Dicke theory for winding number n > 1. In analogy to the spherically symmetric n = 1 solutions, we find that the axially symmetric solutions exist for higher values of the gravitational coupling than in the pure Einstein gravity case. For large values of the gravitational coupling, the solutions collapse to form...

We consider axially symmetric SU(2) Yang-Mills-Higgs (YMH) multi-monopoles in Brans-Dicke theory for winding number n > 1. In analogy to the spherically symmetric n = 1 solutions, we find that the axially symmetric solutions exist for higher values of the gravitational coupling than in the pure Einstein gravity case. For large values of the gravitational coupling, the solutions collapse to form...

The rst ideas of a varying Newton's coupling G come from 1937, when P. A. M. Dirac introduced his famous Large Numbers Hypothesis [1, 2]. In the 60s, in an attempt to reconciliate Mach Principle with General Relativity (GR), Brans and Dicke developed their well known scalar-tensor theory of gravity [3]. Following Jordan's ideas, Brans and Dicke generalized GR including a varying G, whose dynami...

The basic motivation of this work is to attempt to explain the rapid primordial inflation and the observed slow late-time inflation by using the BransDicke theory of gravity. We show that the ratio of these two inflation parameters is proportional to the square root of the Brans-Dicke parameter ω (ω ≫ 1). We also calculate the Hubble parameter H and the time variation of the time dependent Newt...

We treat a very crude model of an exploding star, in the weak field approximation of the Brans-Dicke theory, that shows aspects that resembles some characteristics data of a Type Ia Supernova. The most noticeable result in the electromagnetic component, is the relationship between the absolute magnitude at maximum brightness of the star and the decline rate in one magnitude from that maximum. T...