Affine collineations in general relativity and their fixed point structure

1994 ◽  
Vol 35 (11) ◽  
pp. 5930-5944 ◽  
Author(s):  
G. S. Hall ◽  
D. J. Low ◽  
J. R. Pulham
Keyword(s):  
General Relativity ◽  
Fixed Point ◽  
Affine Collineations

scholarly journals ASYMPTOTICALLY SAFE WEAK INTERACTIONS

2011 ◽  
Vol 26 (21) ◽  
pp. 1571-1576 ◽  
Author(s):  
XAVIER CALMET
Keyword(s):  
General Relativity ◽  
Fixed Point ◽  
Higgs Boson ◽  
Weak Interactions ◽  
Higgs Field ◽  
Tree Level ◽  
Electroweak Interactions ◽  
Weak Scale

We emphasize that the electroweak interactions without a Higgs boson are very similar to quantum general relativity. The Higgs field could just be a dressing field and might not exist as a propagating particle. In that interpretation, the electroweak interactions without a Higgs boson could be renormalizable at the nonperturbative level because of a nontrivial fixed point. Tree-level unitarity in electroweak bosons scattering is restored by the running of the weak scale.

scholarly journals SCALAR-TENSOR COSMOLOGIES: GENERAL RELATIVITY AS A FIXED POINT OF THE JORDAN FRAME SCALAR FIELD

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1631-1638 ◽  
Author(s):  
PIRET KUUSK ◽  
LAUR JÄRV ◽  
MARGUS SAAL
Keyword(s):  
General Relativity ◽  
Fixed Point ◽  
Scalar Field ◽  
Fixed Points ◽  
Coupling Function ◽  
Jordan Frame ◽  
Mathematical Form ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
General Scalar

We study the evolution of homogeneous and isotropic, flat cosmological models within the general scalar-tensor theory of gravity with arbitrary coupling function and potential and scrutinize its limit to general relativity. Using the methods of dynamical systems for the decoupled equation of the Jordan frame scalar field we find the fixed points of flows in two cases: potential domination and matter domination. We present the conditions on the mathematical form of the coupling function and potential which determine the nature of the fixed points (attractor or other). There are two types of fixed points, both are characterized by cosmological evolution mimicking general relativity, but only one of the types is compatible with the Solar System PPN constraints.

General Relativity

2006 ◽  
Author(s):  
M. P. Hobson ◽  
G. P. Efstathiou ◽  
A. N. Lasenby
Keyword(s):  
General Relativity

Mental equilibrium: Identifying fixed-point attractors in the stream of thought

2003 ◽  
Author(s):  
Robin R. Vallacher ◽  
Andrzej Nowak ◽  
Matthew Rockloff
Keyword(s):  
Fixed Point
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