Scalar‐Tensor Theory in Canonical Form. I. The Question of Mach's Principle

1970 ◽  
Vol 11 (5) ◽  
pp. 1713-1724 ◽  
Author(s):  
Edward T. Toton
Keyword(s):  
Canonical Form ◽  
Scalar Tensor Theory ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Tensor Theory

Physical properties of some empty space-times

1957 ◽  
Vol 53 (4) ◽  
pp. 836-842 ◽  
Author(s):  
V. Joseph
Keyword(s):  
General Relativity ◽  
Physical Properties ◽  
Canonical Form ◽  
Empty Space ◽  
Riemann Tensor ◽  
Relativity Theory ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
General Relativity Theory ◽  
The Status

ABSTRACTThe canonical form of the Riemann tensor is found for certain non-flat empty space-times. Some invariant physical properties of these space-times are investigated. The status of Mach's principle in general relativity theory is briefly discussed in the light of these examples.

scholarly journals Field Independent Cosmic Evolution

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Nayem Sk ◽  
Abhik Kumar Sanyal
Keyword(s):  
Higher Order ◽  
Noether Symmetry ◽  
Scalar Tensor Theory ◽  
Anisotropic Model ◽  
Tachyonic Field ◽  
Tensor Theory ◽  
Cosmic Evolution ◽  
Field Independent ◽  
Conserved Current ◽  
Theory Of Gravity

It has been shown earlier that Noether symmetry does not admit a form of corresponding to an action in which is coupled to scalar-tensor theory of gravity or even for pure theory of gravity taking anisotropic model into account. Here, we prove that theory of gravity does not admit Noether symmetry even if it is coupled to tachyonic field and considering a gauge in addition. To handle such a theory, a general conserved current has been constructed under a condition which decouples higher-order curvature part from the field part. This condition, in principle, solves for the scale-factor independently. Thus, cosmological evolution remains independent of the form of the chosen field, whether it is a scalar or a tachyon.

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