Algebra of Implicitly Defined Constraints for Gravity as the General Form of Embedding Theory

Результат исследований: Научные публикации в периодических изданияхстатья

2 Цитирования (Scopus)

Аннотация

We consider the embedding theory, the approach to gravity proposed by Regge and Teitelboim, in which 4D space-time is treated as a surface in high-dimensional flat ambient space. In its general form, which does not contain artificially imposed constraints, this theory can be viewed as an extension of GR. In the present paper we study the canonical description of the embedding theory in this general form. In this case, one of the natural constraints cannot be written explicitly,in contrast to the case where additional Einsteinian constraints are imposed. Nevertheless, it is possible to calculate all Poisson brackets with this constraint. We prove that the algebra of four emerging constraints is closed, i.e., all of them are first-class constraints. The explicit form of this algebra is also obtained.
Язык оригиналаанглийский
Страницы (с-по)1-7
ЖурналГРАВИТАЦИЯ И КОСМОЛОГИЯ
Том23
Номер выпуска1
DOI
СостояниеОпубликовано - 7 мар 2017

Fingerprint Подробные сведения о темах исследования «Algebra of Implicitly Defined Constraints for Gravity as the General Form of Embedding Theory». Вместе они формируют уникальный семантический отпечаток (fingerprint).

  • Цитировать