Some results in the general scalar tensor theory

1984 ◽  
Vol 102 (2) ◽  
pp. 223-228
Author(s):  
Tarkeshwar Singh ◽  
T. Singh
Keyword(s):  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
General Scalar

Energy-momentum tensor in the general scalar-tensor theory

1989 ◽  
Vol 6 (12) ◽  
pp. L263-L265 ◽  
Author(s):  
L O Pimentel
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
General Scalar

Static gravitational and Maxwell fields in the general scalar tensor theory

1980 ◽  
Vol 21 (12) ◽  
pp. 2799-2801 ◽  
Author(s):  
A. Banerjee ◽  
S. B. Duttachoudhury
Keyword(s):  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Maxwell Fields ◽  
General Scalar

General scalar-tensor theory of gravity with constant G

1978 ◽  
Vol 219 ◽  
pp. 5 ◽  
Author(s):  
B. M. Barker
Keyword(s):  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
General Scalar ◽  
Theory Of Gravity

scholarly journals Black hole perturbation in the most general scalar-tensor theory with second-order field equations. II. The even-parity sector

2014 ◽  
Vol 89 (8) ◽  
Author(s):  
Tsutomu Kobayashi ◽  
Hayato Motohashi ◽  
Teruaki Suyama
Keyword(s):  
Black Hole ◽  
Second Order ◽  
Scalar Tensor Theory ◽  
Field Equations ◽  
Tensor Theory ◽  
General Scalar

Static space‐time in general scalar tensor theory

1984 ◽  
Vol 25 (11) ◽  
pp. 3299-3302 ◽  
Author(s):  
N. Banerjee ◽  
S. B. Dutta Choudhury ◽  
A. Banerjee
Keyword(s):  
Space Time ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
General Scalar ◽  
Static Space

A NOETHER SYMMETRY STUDY IN SCALAR-TENSOR THEORY

1998 ◽  
Vol 13 (24) ◽  
pp. 4163-4171 ◽  
Author(s):  
B. MODAK ◽  
S. KAMILYA ◽  
S. BISWAS
Keyword(s):  
General Relativity ◽  
Functional Form ◽  
Noether Symmetry ◽  
Scalar Tensor Theory ◽  
Field Equations ◽  
Tensor Theory ◽  
Exponential Expansion ◽  
General Scalar ◽  
Spatially Homogeneous ◽  
The Universe

In this work we study a general scalar-tensor theory in which the coupling and potential functions are determined from Noether symmetry arguments. We also obtain exact solutions of the field equations and found that the universe asymptotically follows an exponential expansion having no graceful exit. The study of the functional form of ω(φ) reveals that the theory asymptotically becomes an attractor of general relativity. We restrict ourselves to spatially homogeneous, isotropic flat universe.

Homogeneous cosmological model in general scalar-tensor theory

1981 ◽  
Vol 23 (10) ◽  
pp. 2111-2115 ◽  
Author(s):  
A. Banerjee ◽  
N. O. Santos
Keyword(s):  
Cosmological Model ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Homogeneous Cosmological Model ◽  
General Scalar

scholarly journals Wave-like spatially homogeneous models of Stäckel spacetimes (2.1) type in the scalar-tensor theory of gravity

2020 ◽  
Vol 35 (33) ◽  
pp. 2050275
Author(s):  
Konstantin Osetrin ◽  
Altair Filippov ◽  
Evgeny Osetrin
Keyword(s):  
Scalar Field ◽  
Explicit Form ◽  
Scalar Tensor Theory ◽  
Tensor Theory ◽  
Test Particles ◽  
Homogeneous Wave ◽  
General Scalar ◽  
Spatially Homogeneous ◽  
Theory Of Gravity ◽  
The Universe

Six exact solutions are obtained in the general scalar-tensor theory of gravity related to spatially homogeneous wave-like models of the Universe. Wave-like spacetime models allow the existence of privileged coordinate systems where the eikonal equation and the Hamilton–Jacobi equation of test particles can be integrated by the method of complete separation of variables with the separation of isotropic (wave) variables on which the space metric depends (non-ignored variables). An explicit form of the scalar field and two functions of the scalar field that are part of the general scalar-tensor theory of gravity are found. The explicit form of the eikonal function and the action function for test particles in the considered models is given. The obtained solutions are of type III according to the Bianchi classification and type N according to the Petrov classification. Wave-like spatially homogeneous spacetime models can describe primordial gravitational waves of the Universe.

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