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- W3100230319 abstract "In brane-world theory in five dimensions, the bulk metric is usually written in gaussian coordinates, where $g_{4mu} = 0$ and $g_{44} = - 1$. However, the choice $g_{44} = - 1$ is an external condition, not a requirement of the field equations. In this paper we study the consequences of having $g_{44} = epsilon Phi^2$, where $epsilon = pm 1$ and $Phi$ is a scalar function varying with time, $dot{Phi} neq 0$. This varying field entails the possibility of variable fundamental physical constants. These variations are different from those predicted in scalar-tensor and multidimensional theories. We solve the five-dimensional equations for a {em fixed} brane and use the brane-world paradigm to determine the fundamental parameters in the theory, which are the vacuum energy $sigma$, the gravitational coupling $G$ and the cosmological term $Lambda_{(4)}$. We present specific models where these physical quantities are variable functions of time. Different scenarios are possible but we discuss with some detail a model for which $dot{G}/G sim H$ and $Lambda_{(4)} sim H^2$, which seems to be favored by observations. Our results are not in contradiction to previous ones in the literature. In particular, to those where the brane is described as a domain wall moving in a static $Sch-AdS$ bulk. Indeed these latter models in RS scenarios describe the same spacetime as other solutions (with fixed brane) in gaussian coordinates with $dot{Phi} = 0 $. We conclude that the introduction of a time-varying $Phi$ in brane-world theory yields a number of models that show variation in the fundamental physical constants and exhibit reasonable physical properties." @default.
- W3100230319 created "2020-11-23" @default.
- W3100230319 creator A5029984521 @default.
- W3100230319 date "2002-12-07" @default.
- W3100230319 modified "2023-10-02" @default.
- W3100230319 title "VARIATION OF G, Λ<sub>(4)</sub> AND VACUUM ENERGY FROM BRANE-WORLD MODELS" @default.
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- W3100230319 doi "https://doi.org/10.1142/s0217732302009143" @default.
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