Jump to ContentJump to Main Navigation
Nonlocal Gravity$
Users without a subscription are not able to see the full content.

Bahram Mashhoon

Print publication date: 2017

Print ISBN-13: 9780198803805

Published to Oxford Scholarship Online: July 2017

DOI: 10.1093/oso/9780198803805.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 28 September 2021

Extension of General Relativity

Extension of General Relativity

(p.77) 5 Extension of General Relativity
Nonlocal Gravity

Bahram Mashhoon

Oxford University Press

Nonlocal general relativity (GR) requires an extension of the mathematical framework of GR. Nonlocal GR is a tetrad theory such that the orthonormal tetrad frame field of a preferred set of observers carries the sixteen gravitational degrees of freedom. The spacetime metric is then defined via the orthonormality condition. The preferred frame field is used to define a new linear Weitzenböck connection in spacetime. The non-symmetric Weitzenböck connection is metric compatible, curvature-free and renders the preferred (fundamental) frame field parallel. This circumstance leads to teleparallelism. The fundamental parallel frame field defined by the Weitzenböck connection is the natural generalization of the parallel frame fields of the static inertial observers in a global inertial frame in Minkowski spacetime. The Riemannian curvature of the Levi-Civita connection and the torsion of the Weitzenböck connection are complementary aspects of the gravitational field in extended GR.

Keywords:   nonlocal general relativity, Levi-Civita connection, Weitzenböck connection, curvature, torsion, teleparallelism

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .