Work

Shapovalov Wave-Like Spacetimes

Year: 2020

Type: article

Abstract: A complete classification of space-time models is presented, which admit the privileged coordinate systems, where the Hamilton–Jacobi equation for a test particle is integrated by the method of complete separation of variables with separation of the isotropic (wave) variable, on which the metric depends (wave-like Shapovalov spaces). For all types of Shapovalov spaces, exact solutions of the Einstein equations with a cosmological constant in vacuum are found. Complete integrals are presented for the eikonal equation and the Hamilton–Jacobi equation of motion of test particles.

Source: Symmetry

DOI: 10.3390/sym12081372

Authors: Konstantin Osetrin, Evgeny Osetrin

Institutions: Tomsk State Pedagogical University, National Research Tomsk State University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,479

Funder: Russian Foundation for Basic Research