N ov 1 99 9 COMPLEX GEOMETRY OF NATURE AND GENERAL RELATIVITY
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Gravity whose nature is fundamental to the understanding of solar system, galaxies and the structure and evolution of the Universe, is theorized by the assumption of curved spacetime, according to Einstein , s general theory of relativity (EGR). Particles which experience gravity only, move on curved spacetime along straight lines (geodesics). The geodesics are determined by curved-spacetime me...
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We note that in general there exist two basic aspects in any branch of physics, including cosmology-one dealing with the attributes of basic constituents and forces of nature, the other dealing with how structures arise from them and how they evolve. Current research in quantum and superstring cosmology is directed mainly towards the first aspect, even though a viable theory of the underlying i...
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Linearized four-derivative gravity with a general gauge fixing term is considered. By a Legendre transform and a suitable diagonalization procedure it is cast into a second-order equivalent form where the nature of the physical degrees of freedom, the gauge ghosts, the Weyl ghosts, and the intriguing " third ghosts " , characteristic to higher-derivative theories, is made explicit. The symmetri...
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