https://doi.org/10.1140/epjp/s13360-021-01640-4
Review
Self-action in gravity
1
Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09210-170, Santo André, SP, Brazil
2
Regional Scientific and Educational Mathematical Center of Kazan Federal University, Kremlevskaya 18, 420008, Kazan, Russia
Received:
9
December
2020
Accepted:
3
June
2021
Published online:
18
June
2021
A particle moving with variable acceleration in the flat space-time affects the self-force due to outgoing radiation. The gravitational fields bring an additional contribution to self-force due to scattering waves on the curved backgrounds. This force is not zero even for a particle at rest. A review of the self-interaction in the gravitational field is presented. We consider the self-force for the particle connected with the vector and scalar fields. Different backgrounds are considered—black holes, stars, topological defects, and wormholes.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021