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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
Citation:
V. V. Losyakov, I. V. Tyutin, “Two-dimensional field reduction of the general theory of relativity”, TMF, 199:1 (2019), 142–153; Theoret. and Math. Phys., 199:1 (2019), 593–603
Linking options:
https://www.mathnet.ru/eng/tmf9638https://doi.org/10.4213/tmf9638 https://www.mathnet.ru/eng/tmf/v199/i1/p142
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Abstract page: | 397 | Full-text PDF : | 59 | References: | 45 | First page: | 35 |
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