Regensburg 1998 – scientific programme

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GR: Gravitation und Relativitätstheorie

GR 6: Höhere Dimensionen, Volumenelemente, Bose-Einstein-Kondensation

GR 6.2: Talk

Thursday, March 26, 1998, 15:20–15:40, H47

On volume elements of spacetime and a quartet of scalar fields — •F. Gronwald¹, U. Muench², and F.W. Hehl² — ¹Institute for Theoretical Physics, Zülpicher Str.77, 50937 Köln, Germany — ²Institute for Theoretical Physics, Zülpicher Str.77, 50937 Köln, GERMANY

Starting with a ‘bare’ 4-dimensional differential manifold as a model of spacetime, we discuss the options one has for defining a volume element which can be used for physical theories. We show that one has to prescribe a scalar density σ. Whereas conventionally √| detg_ij| is used for that purpose, with g_ij as the components of the metric, we point out other possibilities, namely σ as a ‘dilaton’ field or as a derived quantity from either a linear connection or a quartet of scalar fields, as suggested by Guendelman and Kaganovich.

[1] W. Buchmüller and N. Dragon, Phys. Lett. B207 (1988) 292.

[2] F. Gronwald, Int. J. of Mod. Phys. D6 (1997) 263.

[3] E.I. Guendelman, A.B. Kaganovich, Phys. Rev. D56 (1997) 3548.

[4] F. W. Hehl, J. D. McCrea, E. W. Mielke, Y. Ne’eman, Phys. Rep. 258 (1995) 1.