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- W1775345235 abstract "We consider the consequences of describing the properties of space- time through a quartic line element $ds^4=G_{munulambdarho}dx^mu dx^nu dx^lambda dx^rho$. The associated metric is a fourth-rank tensor $G_{munulambdarho}$. We construct a theory for the gravitational field based on the fourth-rank $G_{munulambdarho}$ which is conformally invariant in four dimensions. In the absence of matter the fourth-rank becomes of the form $G_{munulambdarho}=g_{(munu}g_{lambdarho )}$ therefore we recover a Riemannian behaviour of the geometry; furthermore, the theory coincides with General Relativity. In the presence of matter we can keep Riemannianicity, but now gravitation couples in a different way to matter as compared to General Relativity. We develop a simple cosmological model based on a FRW with matter described by a perfect fluid. Our field equations predict that the entropy is an increasing function of time. For $k_{obs}=0$ the field equations predict $Omegaapprox 4y$, where $y={poverrho}$; for $Omega_{small}=0.01$ we obtain $y_{pred}=2.5times 10^{-3}$. $y$ can be estimated from the mean random velocity of typical galaxies to be $y_{random}=1times10^{-5}$. For the early universe there is no violation of causality for $t>t_{class}approx10^{19}t_{Planck}approx 10^{-24}s$." @default.
- W1775345235 created "2016-06-24" @default.
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- W1775345235 date "1993-03-03" @default.
- W1775345235 modified "2023-10-16" @default.
- W1775345235 title "Conformal Fourth-Rank Gravity" @default.
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