Abstract
We study the definitions of energy, naturally arising in the splitting theory, which is the field theoretic formulation of the Regge-Teitelboim gravity. The latter regards our spacetime as a surface embedded in a flat bulk. The splitting theory describes embedded spacetime in the language of the some field theory in a flat bulk. We consider the Noether energy-momentum tensor (EMT) and the metric EMT defined by the variation with respect to the metric of a flat bulk. We discuss a localizability of energy. Then using these EMTs we calculate the full energy of an isolated massive body. We compare the results with the standard general relativity results obtained from the Einstein energy-momentum pseudotensor (pEMT) and from the M0ller pEMT. Finally, we propose the several ways of correction of the definitions of the energy in the splitting theory.
Highlights
One of the oldest problems of general relativity is the problem of gravitational energy definition
It is well-known that the Noether procedure applied to the Lagrangian of general relativity gives the Noether current, which is energy-momentum pseudotensor rather than energy-momentum tensor
In this paper we want to discuss the various definitions of energy in the splitting theory, trying to solve the known problems of gravitational energy
Summary
One of the oldest problems of general relativity is the problem of gravitational energy definition. It is well-known that the Noether procedure applied to the Lagrangian of general relativity gives the Noether current, which is energy-momentum pseudotensor rather than energy-momentum tensor. It can be eliminated at any given point of spacetime and the gravitational energy turns out to be nonlocalizable, what seems to be physically unsatisfaying situation. In this paper we want to discuss the various definitions of energy in the splitting theory, trying to solve the known problems of gravitational energy
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
