Horizon-less Spherically Symmetric Vacuum-Solutions in a Higgs Scalar-Tensor Theory of Gravity

Models of static spherically-symmetric stellar configurations are discussed within the framework of the Bimetric scalar-tensor theory of gravity. The latter, in addition to the metric tensor and the scalar field, contains a background metric tensor as an absolute variable of the theory. The simplest variant of the theory with a constant coupling parameter and with a zero cosmological function is considered. The analysis includes both the white dwarfs and neutron stars. It is shown that, depending on the value of the theory parameter, the corresponding masses can be notably larger than those in general relativity.

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Exact solutions for the spherically symmetric vacuum field in the general scalar tensor theory

General Relativity and Gravitation ◽

10.1007/bf00756192 ◽

1982 ◽

Vol 14 (1) ◽

pp. 17-25 ◽

Cited By ~ 24

Author(s):

N. Van Den Bergh

Keyword(s):

Exact Solutions ◽

Vacuum Field ◽

Spherically Symmetric ◽

Scalar Tensor Theory ◽

Tensor Theory ◽

General Scalar ◽

Symmetric Vacuum

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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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Generalized scalar tensor theory in four and higher dimensional spherically symmetric space-time

Pramana ◽

10.1007/s12043-001-0084-y ◽

2001 ◽

Vol 56 (5) ◽

pp. 597-604

Author(s):

Subenoy Chakraborty ◽

Arabinda Ghosh

Keyword(s):

Symmetric Space ◽

Space Time ◽

Spherically Symmetric ◽

Scalar Tensor Theory ◽

Tensor Theory ◽

Higher Dimensional

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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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PARAMETRIC INSTABILITY IN SCALAR GRAVITATIONAL FIELDS

Modern Physics Letters A ◽

10.1142/s0217732312300236 ◽

2012 ◽

Vol 27 (24) ◽

pp. 1230023 ◽

Cited By ~ 1

Author(s):

TREVOR B. DAVIES ◽

CHARLES H.-T. WANG ◽

ROBERT BINGHAM ◽

J. TITO MENDONÇA

Keyword(s):

Gravitational Field ◽

Field Effect ◽

Strong Field ◽

Parametric Instability ◽

Spherically Symmetric ◽

Scalar Tensor Theory ◽

Subsequent Work ◽

Dynamical Mechanism ◽

Gravitational Fields ◽

Tensor Theory

We present a brief review on a new dynamical mechanism for a strong field effect in scalar–tensor theory. Starting with a summary of the essential features of the theory and subsequent work by several authors, we analytically investigate the parametric excitation of a scalar gravitational field in a spherically symmetric radially pulsating neutron star.

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