Wormhole Solutions in Modified Brans-Dicke Theory

Abstract

We consider a modified Brans-Dicke theory in which except the usual Brans-Dicke parameter a new dimensionful parameter appears which modifies the kinetic term of the scalar field coupled to gravity. Solving the coupled Einstein-Klein-Gordon equations we find new spherically symmetric solutions. Depending on the choices of the parameters these solutions reduce to the Schwarzschild solution of General Relativity and they give new wormhole solutions which depend on the new parameter.

arXiv commentMajor revision. The Introduction was extended explaining the main motivation of the work. Explanations on the technical details were given. More references were added. To be published in Phys. Rev. D. 18 pages , 7 figures

References in corpus (28)

• The Confrontation between General Relativity and Experiment
• Black holes in scalar-tensor gravity
• An introduction to the Vainshtein mechanism
• The Null Energy Condition and its violation
• Cosmological constraints on Brans-Dicke theory
• General class of vacuum Brans-Dicke wormholes
• Structure formation constraints on the Jordan-Brans-Dicke theory
• Black holes in the Brans-Dicke-Maxwell theory
• Massless Fileds in Scalar-Tensor Cosmologies
• "Are Black Holes in Brans-Dicke Theory precisely the same as in General Relativity?"
• Attractive and Repulsive Gravity
• Constraints on the Brans-Dicke gravity theory with the Planck data
• Relaxing Nucleosynthesis Constraints on Brans-Dicke Theories
• Can Brans-Dicke theory with $\Lambda >0$ describe stars?
• Stable wormholes in scalar-tensor theories
• Dynamics and cosmological constraints on Brans-Dicke cosmology
• Can String Theory Avoid Cosmological Singularities?
• Curvature and Flatness in a Brans-Dicke Universe
• No static sphericaly symmetric wormholes in Horndeski theory
• Revisiting the Brans solutions of scalar-tensor gravity
• More about stable wormholes in beyond Horndeski theory
• Modified Brans-Dicke cosmology with matter-scalar field interaction
• The Campanelli-Lousto and veiled spacetimes
• A Possible Solution to the Horizon Problem: The Mad Era for Massless Scalar Theories of Gravity
• p-Brane cosmology and phases of Brans-Dicke theory with matter
• On the action of the complete Brans-Dicke theory
• Black Holes in Brans-Dicke Theory with a Cosmological Constant
• Late time accelerated Brans-Dicke pressureless solutions and the supernovae type Ia data

Cited by in corpus (13)

• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Non-Local Gravity Wormholes
• Quasinormal modes of massive scalar fields in four-dimensional wormholes: anomalous decay rate
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Traversable wormhole models in $f(R)$ gravity
• $f(\mathsf{R})$ Gravity Wormholes sourced by a Phantom Scalar Field
• Echoes of Compact Objects in Scalar-Tensor Theories of Gravity
• Charged traversable wormholes supported by Casimir energy with and without GUP corrections
• General constraints on Horndeski wormhole throats
• Evolving traversable wormholes satisfying the energy conditions in the presence of pole dark energy
• Formation of Bound States of scalar fields in AdS-asymptotic Wormholes
• Stealth Ellis Wormholes In Horndeski theories
• Stability of spherical thin-shell wormholes in scalar-tensor theories