Line Sources in Brans-Dicke Theory of Gravity

Abstract

We investigate how the gravitational field generated by line sources can be characterized in Brans-Dicke theory of gravity. Adapting an approach previously developed by Israel who solved the same problem in general relativity we show that in Brans-Dicke theory's case it is possible to work out the field equations which relate the energy-momentum tensor of the source to the scalar field, the coupling constant $\omega$ and the extrinsic curvature of a tube of constant geodesic radius centered on the line in the limit when the radius shrinks to zero. In this new scenario two examples are considered and an account of the Gundlach and Ortiz solution is included. Finally, a brief discussion of how to treat thin shells in Brans-Dicke theory is given.

21 pages, RevTex; added a discussion on the Gundlach and Ortiz solution

References in corpus (5)

• Global Monopoles in Brans-Dicke Theory of Gravity
• Cosmic String in Scalar-Tensor Gravities
• Global monopoles in dilaton gravity
• Dilatonic global strings
• Local cosmic string in generalised scalar tensor theory

Cited by in corpus (12)

• Thin-shell wormholes in Brans-Dicke gravity
• Composite vacuum Brans-Dicke wormholes
• Brans-Dicke cylindrical wormholes
• d-dimensional non-asymptotically flat thin-shell wormholes in Einstein-Yang-Mills-Dilaton gravity
• Non-singular Brans-Dicke collapse in deformed phase space
• Cosmic stringlike objects in hybrid metric-Palatini gravity
• Cylindrically Symmetric Vacuum Solutions in Higher Dimensional Brans-Dicke Theory
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Local cosmic strings in Brans-Dicke theory with a cosmological constant
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory
• Cylindrically symmetric, static strings with a cosmological constant in Brans-Dicke theory
• Some aspects of cylindrical solutions in Brans-Dicke gravity