Non-Riemannian gravitational interactions

Robin Tucker; Charles Wang

Banach Center Publications (1997)

  • Volume: 41, Issue: 2, page 263-271
  • ISSN: 0137-6934

Abstract

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Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita connection.

How to cite

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Tucker, Robin, and Wang, Charles. "Non-Riemannian gravitational interactions." Banach Center Publications 41.2 (1997): 263-271. <http://eudml.org/doc/252244>.

@article{Tucker1997,
abstract = {Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita connection.},
author = {Tucker, Robin, Wang, Charles},
journal = {Banach Center Publications},
keywords = {motion of a fluid; torsion; divergence of the Einstein tensor; variational equations; Einstein-Proca system; Levi-Civita connection},
language = {eng},
number = {2},
pages = {263-271},
title = {Non-Riemannian gravitational interactions},
url = {http://eudml.org/doc/252244},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Tucker, Robin
AU - Wang, Charles
TI - Non-Riemannian gravitational interactions
JO - Banach Center Publications
PY - 1997
VL - 41
IS - 2
SP - 263
EP - 271
AB - Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita connection.
LA - eng
KW - motion of a fluid; torsion; divergence of the Einstein tensor; variational equations; Einstein-Proca system; Levi-Civita connection
UR - http://eudml.org/doc/252244
ER -

References

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  16. [16] P. Teyssandier, R. W. Tucker, Class. Quantum Grav 13 (1996) 145. 
  17. [17] T. Dereli, M. Önder, J. Schray, R. W. Tucker, C. Wang, Non-Riemannian Gravity and the Einstein-Proca System, gr-qc 9604039 (1996). Zbl0865.53084
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  20. [20] H. Kleinert, A. Pelster, Lagrangian Mechanics in Spaces with Curvature and Torsion, gr-qc 9605028 (1996). 

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