Abstract
We discuss the role of the canonical superenergy tensors.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
In terms of \(E_i^{~k}\) Einstein equations read \(R_i^{~k} = \beta E_i^{~k}\).
References
Garecki, J.: Energy and superenergy of a closed universe. Rep. Math. Phys. 33, 57 (1993). doi:10.1016/0034-4877(93)90040-L
Garecki, J.: Energy-momentum and angular momentum of isotropic homogeneous cosmological models in a gauge theory of gravity. Int. J. Theor. Phys. 34, 2307 (1995). doi:10.1007/BF00673845
Garecki, J.: Canonical angular supermomentum tensors in general relativity. J. Math. Phys. 40, 4035 (1999). doi:10.1063/1.532941
Garecki, J.: Do gravitational waves carry energy-momentum and angular momentum? Ann. Phys. (Berlin) 11, 442 (2002). doi:10.1002/1521-3889(200206)11:6<442::AID-ANDP442>3.0.CO;2-A
Da̧browski, M., Garecki, J.: Superenergy and supermomentum of Gödel universes. Class. Quantum Gravity 19, 1 (2002). doi:10.1088/0264-9381/19/1/301
Garecki, J.: On the gravitational energy of the Bonnor spacetime. Class. Quantum Gravity 22, 4051 (2005). doi:10.1088/0264-9381/22/19/015
Garecki, J.: The tensors of the averaged relative energy momentum and angular momentum in general relativity and some of their applications. Found. Phys. 37, 341 (2007). doi:10.1007/s10701-007-9107-y
Da̧browski, M., Garecki, J.: Statefinders and observational measurement of superenergy. Phys. Lett. B 686, 6 (2010). doi:10.1016/j.physletb.2010.02.019
Garecki, J.: A superenergetic analysis of the plane and plane-fronted gravitational waves. Rep. Math. Phys. 40, 485 (1997). doi:10.1016/S0034-4877(97)85897-1
Garecki, J.: Superenergy and angular supermomentum tensors in general relativity. Rep. Math. Phys. 44, 95 (1999). doi:10.1016/S0034-4877(99)80149-9
Garecki, J.: Superenergy, conformal transformations, and Friedman universes. Ann. Phys. (Berlin) 19, 263 (2010). doi:10.1002/andp.201010424
Synge, J.: Relativity: The General Theory. North-Holland, Amsterdam (1960)
Appel, P.: Sur une forme générale des équations de la dynamique. J. reine angew. Math. 1900(121), 310 (1900). doi:10.1515/crll.1900.121.310
Appel, P.: Sur une forme générale des équations de la dynamique et sur le principe de gauss. J. reine angew. Math. 1900(122), 205 (1900). doi:10.1515/crll.1900.122.205
Białkowski, G.: Classical Mechanics. PWN, Warsaw (1975). In Polish
Da̧browski, M., Garecki, J., Blaschke, D.: Conformal transformations and conformal invariance in gravitation. Ann. Phys. (Berlin) 18, 13 (2009). doi:10.1002/andp.200810331
Acknowledgments
This paper was mainly supported by Polish Ministry of Science and Higher Education Grant No 505-4000-25-0976 (years 2011–2013). Author also would like to thank Professor Jiří Bičák for possibility to deliver talk during the Conference “Relativity and Gravitation – 100 years after Einstein in Prague”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Garecki, J. (2014). Canonical Superenergy Tensors in General Relativity: A Reappraisal. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-06761-2_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06760-5
Online ISBN: 978-3-319-06761-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)