Modular transformations and one-polygon tessellation

Year: 1998

Authors: Franzosi R., Ghilardi M., Guadagnini E.,

Autors Affiliation: Dipartimento di Fisica dell’Universita ` di Firenze; Dipartimento di Fisica dell\’Università di Pisa, Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Piazza Torricelli 2, 56100 Pisa, Italy; Scuola Normale Superiore di Pisa

Abstract: In (2 + 1) gravity, the time evolution of a universe with the spatial topology of a torus can be described by means of a one-polygon tessellation with 3-valent vertices. The action of modular transformations on this solution is considered; it is shown that the corresponding orbit is densely distributed inside the entire phase space of the model. (C) 1998 Elsevier Science B.V.

Journal/Review: PHYSICS LETTERS. B (PRINT)

Volume: 418 (1-2)      Pages from: 42  to: 45

KeyWords: General Relativity; Differential Geometry; Gravity
DOI: 10.1016/S0370-2693(97)01340-3

Citations: 1
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