Modified teleparallel theories of gravity

Sebastian Bahamonde, Christian G. Böhmer, and Matthew Wright
Phys. Rev. D 92, 104042 – Published 23 November 2015

Abstract

We investigate modified theories of gravity in the context of teleparallel geometries. It is well known that modified gravity models based on the torsion scalar are not invariant under local Lorentz transformations while modifications based on the Ricci scalar are. This motivates the study of a model depending on the torsion scalar and the divergence of the torsion vector. We derive the teleparallel equivalent of f(R) gravity as a particular subset of these models and also show that this is the unique theory in this class that is invariant under local Lorentz transformation. Furthermore one can show that f(T) gravity is the unique theory admitting second-order field equations.

  • Figure
  • Received 26 August 2015

DOI:https://doi.org/10.1103/PhysRevD.92.104042

© 2015 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Sebastian Bahamonde*, Christian G. Böhmer, and Matthew Wright

  • Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom

  • *sebastian.beltran.14@ucl.ac.uk
  • c.boehmer@ucl.ac.uk
  • matthew.wright.13@ucl.ac.uk

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 92, Iss. 10 — 15 November 2015

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×