Ninth Alexander Friedmann International Seminar on Gravitation and CosmologyOpen Access

Friedmann cosmology in Regge-Teitelboim gravity

A. A. Sheykin

Faculty of Physics, St. Petersburg State University, Ulyanovskaya 3, St. Petersburg, 198504, Russia

E-mail Address: anton.shejkin@gmail.com

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and

S. A. Paston

Faculty of Physics, St. Petersburg State University, Ulyanovskaya 3, St. Petersburg, 198504, Russia

E-mail Address: paston@pobox.spbu.ru

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https://doi.org/10.1142/S2010194516601289Cited by:3 (Source: Crossref)

Abstract

This paper is devoted to the approach to gravity as a theory of a surface embedded in a flat ambient space. After the brief review of the properties of original theory by Regge and Teitelboim we concentrate on its field-theoretic reformulation, which we call splitting theory. In this theory embedded surfaces are defined through the constant value surfaces of some set of scalar fields in high-dimensional Minkowski space. We obtain an exact expressions for this scalar fields in the case of Friedmann universe. We also discuss the features of quantization procedure for this field theory.

Keywords:

PACS: 04.20.Fy, 04.50.Kd, 98.80.Jk

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Vol. 41

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History

Received 19 September 2015

Revised 1 October 2015

Published: 18 March 2016

Information

This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.

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Friedmann cosmology in Regge-Teitelboim gravity

Abstract

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