Work

Restricted gravity: Lagrangian formalism and explicit solutions

Year: 2025

Type: article

Abstract: It is well known that, making the Abelian projection of Einstein’s theory one can obtain the restricted gravity which is simpler than Einstein’s theory but describes the core dynamics of Einstein’s gravity. In this paper we present the Lagrangian formalism of the restricted gravity which makes the restricted gravity a self consistent field theory by itself, independent of Einstein’s theory. With this we present interesting solutions of the restricted gravity, in particular the gravitational cosmic string, the Bertotti–Robinson spacetime, the axisymmetric pp-wave, and the conformally flat waves with flat wavefront. Moreover, we show that in the restricted gravity the Rosen–Bondi gravitational plane wave could be described by two Maxwellian potentials. This could play important role in quantum gravity. We discuss the physical implications of the restricted gravity.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-025-15097-7

Authors: Seung Hun Oh, Sangwoo Kim, Y. M. Cho

Institutions: Tech University of Korea, Konkuk University, Seoul National University, Sogang University

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Research Foundation, Sogang University, National Research Foundation of Korea

Awards: G3076818363, G6811072441