Issues in quantum gravity

Mathematics – Logic

Scientific paper

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Scientific paper

The differences between the Jordan frame and the Einstein frame in Brans-Dicke theory have been widely discussed in the literature. However, there is no consensus on this subject. In this dissertation, this issue is first attacked by working on the cosmological consequences. Then the equivalence theorem in quantum field theory is used to argue the differences between the two frames. The recent holographic principle is applied to the Brans- Dicke theory to get the corresponding holographic bounds in the two frames. The most recent developments in cosmology: the quintessence model and the brane Universe, are also briefly discussed. Other alternative theories of gravity are briefly mentioned in this dissertation.

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