Abstract
In this chapter we will introduce some notation in Section 5.1 and, then, in Section 5.2 we will present the Lagrangian for the free gravitational field \({\mbox{ h}}^{\clubsuit} : sec \wedge^1T^ * U \to \sec \wedge^1T^ * U\). In Section 5.3, dedicated to the derivation of the equation of motion for \({\mbox{ h}}^{\clubsuit}\) that follows from a variational principle, we will see the power of the mathematical methods developed in Chapters 2, 3 and 4. In Section 5 we will present the Lagrangian for the gravitational field plus a matter field which includes also a cosmological constant term and, then, will derive the equations of motion for the gravitational field.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Fernández, V.V., Rodrigues, W.A. (2010). Gravitation as Plastic Distortion of the Lorentz Vacuum. In: Gravitation as a Plastic Distortion of the Lorentz Vacuum. Fundamental Theories of Physics, vol 168. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13589-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-13589-7_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13588-0
Online ISBN: 978-3-642-13589-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)