scholarly journals Vanishing of quantum gravitational corrections to vacuum solutions of general relativity at second order in curvature

2018 ◽  
Vol 787 ◽  
pp. 36-38 ◽  
Author(s):  
Xavier Calmet
Keyword(s):  
General Relativity ◽  
Second Order ◽  
Vacuum Solutions

scholarly journals Excluded Volume for Flat Galaxy Rotation Curves in Newtonian Gravity and General Relativity

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 398 ◽  
Author(s):  
Rand Dannenberg
Keyword(s):  
General Relativity ◽  
Gravitational Constant ◽  
Excluded Volume ◽  
Newtonian Gravity ◽  
Least Action Principle ◽  
Rotation Curves ◽  
Least Action ◽  
A Charge ◽  
Vacuum Solutions ◽  
Galaxy Rotation Curves

Using the classical vacuum solutions of Newtonian gravity that do not explicitly involve matter, dark matter, or the gravitational constant, subject to an averaging process, a form of gravity relevant to the flattening of galaxy rotation curves results. The latter resembles the solution found if the vacuum is simply assigned a gravitational field density, and a volume of the vacuum is then excluded, with no averaging process. A rationale then follows for why these terms would become important on the galactic scale. Then, a modification of General Relativity, motivated by the Newtonian solutions, that are equivalent to a charge void, is partially defined and discussed in terms of a least action principle.

The first and second order formulations of general relativity

Supergravity ◽  
2012 ◽  
pp. 171-184
Author(s):  
Daniel Z. Freedman ◽  
Antoine Van Proeyen
Keyword(s):  
General Relativity ◽  
Second Order

scholarly journals Zel’dovich-type approximation for an inhomogeneous universe in general relativity: Second-order solutions

1996 ◽  
Vol 53 (12) ◽  
pp. 6881-6888 ◽  
Author(s):  
Heinz Russ ◽  
Masaaki Morita ◽  
Masumi Kasai ◽  
Gerhard Börner
Keyword(s):  
General Relativity ◽  
Second Order ◽  
Inhomogeneous Universe ◽  
Type Approximation
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