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Obtaining General Relativity's N-body non-linear Lagrangian from iterative, linear algebraic scaling equations.
- Source :
- Astronomische Nachrichten; Nov2015, Vol. 336 Issue 8/9, p727-730, 4p
- Publication Year :
- 2015
-
Abstract
- A local system of bodies in General Relativity whose exterior metric field asymptotically approaches the Minkowski metric effaces any effects of the matter distribution exterior to its Minkowski boundary condition. To enforce to all orders this property of gravity which appears to hold in nature, a method using linear algebraic scaling equations is developed which generates by an iterative process an N-body Lagrangian expansion for gravity's motion-independent potentials which fulfills exterior effacement along with needed metric potential expansions. Then additional properties of gravity - interior effacement and Lorentz time dilation and spatial contraction - produce additional iterative, linear algebraic equations for obtaining the full non-linear and motion-dependent N-body gravity Lagrangian potentials as well. (© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00046337
- Volume :
- 336
- Issue :
- 8/9
- Database :
- Complementary Index
- Journal :
- Astronomische Nachrichten
- Publication Type :
- Academic Journal
- Accession number :
- 110901557
- Full Text :
- https://doi.org/10.1002/asna.201512217