Avoidance of Singularity and Global Non-Conservation of Energy in General Relativity

Details Avoidance of Singularity and Global Non-Conservation of Energy in General Relativity Avoidance of Singularity and Global Non-Conservation of Energy in General Relativity

2009-06-26

arxiv.org/abs/0906.4933v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figures

Scientific paper

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 resolve the problem in part. Assuming the global energy conservation, we propose a negative energy density component with positive equation of state that can drive the late-time acceleration in the universe, while the positive component confines to smaller scales.

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