Static spherically symmetric solutions in new general relativity

Authors

Alexey Golovnev, Centre for Theoretical Physics, British University in Egypt, El Sherouk City, Cairo Governorate, 11837, Egypt
A Semenova, Petersburg Nuclear Physics Institute of National Research Centre “Kurchatov Institute”, Gatchina, 188300, Russian Federation
V Vandeev, Petersburg Nuclear Physics Institute of National Research Centre “Kurchatov Institute”, Gatchina, 188300, Russian Federation

Document Type

Article

Publication Date

3-2024

Abstract

We give a pedagogical introduction to static spherically symmetric solutions in models of New GR, both explaining the basics and showing how all such vacuum solutions can be obtained in elementary functions. In doing so, we coherently introduce the full landscape of these modified teleparallel spacetimes, and find a few special cases. The equations of motion are turned into a very nice and compact form by using the Levi-Civita divergence of the torsion-conjugate; and generalised Bianchi identities are briefly discussed. Another important point we make is that a convenient choice of the radial variable might be instrumental for success of similar studies in other modified gravity models.

Recommended Citation

Golovnev, Alexey; Semenova, A; and Vandeev, V, "Static spherically symmetric solutions in new general relativity" (2024). Centre for Theoretical Physics and Computations. 315.
https://buescholar.bue.edu.eg/centre_theoretical_physics/315