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TMF, 2019 Volume 199, Number 1, Pages 142–153 (Mi tmf9638)

Two-dimensional field reduction of the general theory of relativity

V. V. Losyakovab, I. V. Tyutinac

a Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russia
b National Research University "Higher School of Economics", Moscow, Russia
c Tomsk State Pedagogical University, Tomsk, Russia

Abstract: In the framework of general relativity theory, we consider a space–time whose metric depends on only one coordinate and time. We choose a gauge class such that all the constraint conditions of the theory of gravity as a gauge theory are explicitly solved and construct a Hamiltonian depending only on dynamical physical variables $($gravitons$)$. We show that such a Hamiltonian can be obtained from the Polyakov action for a string in an anti-de Sitter background space with a "string constant" depending on time.

Keywords: general relativity theory, gravitational wave, string, anti-de Sitter space, gauge theory.

Received: 08.10.2018
Revised: 08.10.2018

DOI: 10.4213/tmf9638


 English version:
Theoretical and Mathematical Physics, 2019, 199:1, 593–603

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© Steklov Math. Inst. of RAS, 2024