General scalar-tensor theory of gravity with constant G

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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Cosmology and a General Scalar-Tensor Theory of Gravity

Monthly Notices of the Royal Astronomical Society ◽

10.1093/mnras/176.2.241 ◽

1976 ◽

Vol 176 (2) ◽

pp. 241-247 ◽

Cited By ~ 7

Author(s):

N. T. Bishop

Keyword(s):

Scalar Tensor Theory ◽

Tensor Theory ◽

General Scalar ◽

Theory Of Gravity

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Inflationary attractors from nonminimal coupling

EPJ Web of Conferences ◽

10.1051/epjconf/201816806003 ◽

2018 ◽

Vol 168 ◽

pp. 06003 ◽

Cited By ~ 1

Author(s):

Zhu Yi ◽

Yungui Gong

Keyword(s):

Strong Coupling ◽

Strong Coupling Limit ◽

Conformal Transformations ◽

Scalar Tensor Theory ◽

Nonminimal Coupling ◽

Tensor Theory ◽

General Scalar ◽

Theory Of Gravity

We show explicitly how the E model attractor is obtained from the general scalar-tensor theory of gravity with arbitrary conformal factors in the strong coupling limit. By using conformal transformations, any attractor with the observables ns and r can be obtained. The existence of attractors imposes a challenge to distinguish different models.

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Field Independent Cosmic Evolution

Journal of Astrophysics ◽

10.1155/2013/590171 ◽

2013 ◽

Vol 2013 ◽

pp. 1-12 ◽

Cited By ~ 5

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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Some results in the general scalar tensor theory

Astrophysics and Space Science ◽

10.1007/bf00650169 ◽

1984 ◽

Vol 102 (2) ◽

pp. 223-228

Author(s):

Tarkeshwar Singh ◽

T. Singh

Keyword(s):

Scalar Tensor Theory ◽

Tensor Theory ◽

General Scalar

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GALACTIC AND ASTROPHYSICAL SIZES FROM SCALAR-TENSOR THEORY OF GRAVITY

International Journal of Modern Physics D ◽

10.1142/s0218271804004669 ◽

2004 ◽

Vol 13 (02) ◽

pp. 359-371 ◽

Cited By ~ 1

Author(s):

GIUSEPPE BASINI ◽

MARCO RICCI ◽

FULVIO BONGIORNO ◽

SALVATORE CAPOZZIELLO

Keyword(s):

Scalar Field ◽

Spiral Galaxies ◽

Weak Field ◽

Newtonian Potential ◽

Scalar Tensor Theory ◽

Field Limit ◽

Weak Field Limit ◽

Tensor Theory ◽

Flat Rotation Curves ◽

Theory Of Gravity

We investigate the weak-field limit of scalar-tensor theory of gravity and show that results are directly depending on the coupling and self-interaction potential of the scalar field. In particular, corrections are derived for the Newtonian potential. We discuss astrophysical applications of the results, in particular the flat rotation curves of spiral galaxies.

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