Wormholes in vacuum Brans-Dicke theory

It is shown that among the different classes of claimed static wormhole solutions of the vacuum Brans–Dicke theory only Brans Class I solution with coupling constant ω less than -1.5 (excluding the point ω = 2) gives rise to physically viable traversable wormhole geometry. Usability of this wormhole geometry for interstellar travel has been examined.

[1]  D. Torres,et al.  A New Strong-Field Effect in Scalar Tensor Gravity: Spontaneous Violation of the Energy Conditions , 2003, astro-ph/0401521.

[2]  P. Tortora,et al.  A test of general relativity using radio links with the Cassini spacecraft , 2003, Nature.

[3]  M. Visser,et al.  Traversable wormholes with arbitrarily small energy condition violations. , 2003, Physical review letters.

[4]  Sung-Won Kim,et al.  New Brans-Dicke wormholes , 2002 .

[5]  K. K. Nandi,et al.  Brans type II-IV solutions in the Einstein frame and physical interpretation of constants in the solutions , 2001 .

[6]  P. Alsing,et al.  Tidal Forces in Cold Black Hole Spacetimes , 2000, gr-qc/0008025.

[7]  M. Visser,et al.  Scalar fields, energy conditions and traversable wormholes , 2000, gr-qc/0003025.

[8]  L. Anchordoqui,et al.  Brans-Dicke wormholes in nonvacuum spacetime , 1996, gr-qc/9610070.

[9]  Kar,et al.  Evolving Lorentzian wormholes. , 1995, Physical review. D, Particles and fields.

[10]  Agnese,et al.  Wormholes in the Brans-Dicke theory of gravitation. , 1995, Physical review. D, Particles and fields.

[11]  T. Damour,et al.  Nonperturbative strong-field effects in tensor-scalar theories of gravitation. , 1993, Physical review letters.

[12]  You-Gen,et al.  Wormholes in the Kaluza-Klein theory. , 1991, Physical review. D, Particles and fields.

[13]  D. Hochberg Lorentzian wormholes in higher order gravity theories , 1990 .

[14]  K. Thorne,et al.  Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity , 1988 .

[15]  M. Wyman Static spherically symmetric scalar fields in general relativity , 1981 .

[16]  W. Bruckman,et al.  Generation of solutions of the interior Brans-Dicke equations , 1977 .

[17]  J. Winicour,et al.  Reality of the Schwarzschild Singularity , 1968 .

[18]  R. Dicke,et al.  Mach's principle and a relativistic theory of gravitation , 1961 .

[19]  H. Buchdahl Reciprocal Static Metrics and Scalar Fields in the General Theory of Relativity , 1959 .

[20]  John Ellis,et al.  Int. J. Mod. Phys. , 2005 .