TOPOLOGY CHANGE AND SIGNATURE CHANGE IN NON-LINEAR FIRST-ORDER GRAVITY

Author:

BOROWIEC ANDRZEJ1,FRANCAVIGLIA MAURO234,VOLOVICH IGOR5

Affiliation:

1. Institute of Theoretical Physics, University of Wrocław, pl. Maksa Borna 9, 50-204 WROCŁAW (POLAND), Poland

2. Dipartimento di Matematica, Università di Torino, Via C. Alberto 10, 10123 TORINO (ITALY), Italy

3. INFN, Section of Torino, Iniziativa Specifica NA12, Italy

4. ESG (Evolutionary Systems Group), University of Calabria, Via P. Bucci, Cubo 17b, 87037, Arcavacata di Rende CS, Italy

5. Steklov Mathematical Institute, Russian Academy of Sciences, Vavilov St. 42, GSP–1, 117966 MOSCOW (RUSSIA), Russia

Abstract

We show that different topologies of a space-time manifold and different signatures of its metric can be encompassed into a single Lagrangian formalism, provided one adopts the first-order (Palatini) formulation and relies on nonlinear Lagrangians, that were earlier shown to produce, in the generic case, universality of Einstein field equations and of Komar's energy-momentum complex as well. An example in Relativistic Cosmology is provided.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

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