Abstract:
Characterization of wave solutions of the Einstein equations is carried out with the help of an additional condition for a certain type of the dependence of the fundamental tensor upon space-time variables. In the case of plane gravitational waves the Einstein equations are reduced to the Riccatti equation. Both the superposition of gravitational waves and solitary waves are considered.
Citation:
I. G. Fikhtengol'ts, “Elements of the theory of gravitational waves”, TMF, 79:1 (1989), 146–150; Theoret. and Math. Phys., 79:1 (1989), 445–448
This publication is cited in the following 2 articles:
I. V. Astashova, V. A. Nikishov, “On extensibility and qualitative properties of solutions to Riccati's equation”, Russian Math. Surveys, 79:2 (2024), 189–227
I. G. Fikhtengol'ts, “On some particular solutions of the Einstein gravitational equations”, Theoret. and Math. Phys., 105:2 (1995), 1467–1476