Static spherically symmetric solutions in New General Relativity

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.

arXiv comment13 pages; minor changes; a reference added

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Cited by in corpus (6)

• Spherically symmetric vacuum solutions in 1-Parameter New General Relativity and their phenomenology
• Gravitational Waves in New General Relativity
• Degrees of Freedom in modified Teleparallel Gravity
• Conformal Transformations and Cosmological Perturbations in New General Relativity
• On black holes in teleparallel torsion theories of gravity
• On black holes in new general relativity