Nonlocal gravity: Conformally flat spacetimes
2016 ◽
Vol 13
(06)
◽
pp. 1650081
◽
Keyword(s):
The field equations of the recent nonlocal generalization of Einstein’s theory of gravitation are presented in a form that is reminiscent of general relativity. The implications of the nonlocal field equations are studied in the case of conformally flat spacetimes. Even in this simple case, the field equations are intractable. Therefore, to gain insight into the nature of these equations, we investigate the structure of nonlocal gravity (NLG) in 2D spacetimes. While any smooth 2D spacetime is conformally flat and satisfies Einstein’s field equations, only a subset containing either a Killing vector or a homothetic Killing vector can satisfy the field equations of NLG.
1993 ◽
Vol 10
(6)
◽
pp. 1065-1082
◽
Keyword(s):
Keyword(s):
Transformation Laws for Decomposable World-Spin Affinities in a Class of Conformally Flat Spacetimes
2010 ◽
Vol 49
(6)
◽
pp. 1274-1287
◽
2005 ◽
Vol 02
(02)
◽
pp. 397-435
◽
2011 ◽
Vol 42
(2)
◽
pp. 224-240
◽