AVOIDANCE OF SINGULARITY AND GLOBAL NON-CONSERVATION OF ENERGY IN GENERAL RELATIVITY

We show that the singularity in the General Theory of Relativity (GTR) is the expression of a non-Machian feature. It can be avoided with a scale-invariant dynamical theory, a property lacking in GTR. It is further argued that the global non-conservation of energy in GTR also results from the lack of scale-invariance, and the field formulation presented by several authors can only partly resolve the problem. Assuming the global energy conservation, we propose a negative energy density component with a positive equation of state that can drive the late-time acceleration in the universe, while the positive component confines to smaller scales. MIRAMARE – TRIEST