Einstein Equations from Riemann-only Gravitational Actions
作者： Oktay Dogangun , Tonguc Rador , Durmus A. Demir , Selin Soysal
DOI:
关键词: Quantum mechanics 、 Lanczos tensor 、 Exact solutions in general relativity 、 Riemann curvature tensor 、 Tensor density 、 Physics 、 Mathematics of general relativity 、 Mathematical physics 、 Einstein tensor 、 Ricci decomposition 、 Weyl tensor
摘要: In pure affine formalism for gravitation, we construct invariant actions constructed solely from the Riemann tensor. We do this by generalizing notion of determinant to higher rank tensor fields. regard reducing Einstein-Hilbert action in arbitrary dimensions, show that Riemann-only are more natural than those based on Ricci By using action, derive a dynamical equation itself, and it embodies usual gravitational field equations.
arxiv.org
harvard.edu参考文章(16)
Nikodem J. Poplawski, A unified, purely affine theory of gravitation and electromagnetism arXiv: General Relativity and Quantum Cosmology. ,(2007)
Yuri N. Obukhov, Friedrich W. Hehl, Elie Cartan's torsion in geometry and in field theory, an essay arXiv: General Relativity and Quantum Cosmology. ,(2007)
E. T. Whittaker, From Euclid to Eddington: A Study of Conceptions of the External World ,(1981)
Arthur Eddington, The mathematical theory of relativity ,(1924)
R. Percacci, Gravity from a Particle Physicists' perspective arXiv: High Energy Physics - Theory. ,(2009)
Sean M. Carroll, Spacetime and Geometry: An Introduction to General Relativity ,(2003)
Durmus A. Demir, Vacuum Energy as the Origin of the Gravitational Constant arXiv: High Energy Physics - Theory. ,(2009) , 10.1007/S10701-009-9364-Z
Durmuş A. Demir, Stress–energy connection and cosmological constant problem Physics Letters B. ,vol. 701, pp. 496- 502 ,(2011) , 10.1016/J.PHYSLETB.2011.06.018
Oktay Dogangun, Durmus A. Demir, Canan N. Karahan, Conformal Transformations in Metric-Affine Gravity and Ghosts arXiv: General Relativity and Quantum Cosmology. ,(2012) , 10.1002/ANDP.201200003
VICTOR TAPIA, Integrable Conformal Field Theory in Four Dimensions and Fourth-Rank Geometry arXiv: High Energy Physics - Theory. ,(1993) , 10.1142/S0218271893000295