Dynamics of the cosmological and Newton’s constant
Abstract
A modification of general relativity is presented in which Newton’s constant, G, and the cosmological constant, Λ, become a conjugate pair of dynamical variables. These are functions of a global time, hence the theory is presented in the framework of shape dynamics, which trades manyfingered time for a local scale invariance and an overall reparametrization of the global time. As a result, due to the fact that these global dynamical variables are canonically conjugate, the field equations are consistent. The theory predicts a relationship with no free parameters between the rates of change of Newton’s constant and the cosmological constant, in terms of the spatial average of the matter Lagrangian density.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 January 2016
 DOI:
 10.1088/02649381/33/2/025011
 arXiv:
 arXiv:1507.01229
 Bibcode:
 2016CQGra..33b5011S
 Keywords:

 High Energy Physics  Theory;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 18 pages, For a related talk see http://pirsa.org/15060033/