GRAVITATIONAL FIELD OF A STRAIGHT COSMIC STRING IN THE FRAMEWORK OF HIGHER-DERIVATIVE GRAVITY

The gravitational properties of a straight cosmic string are studied in the linear approximation of higher-derivative gravity. These properties are shown to be very different from those found using linearized Einstein gravity: there exists a short range gravitational (anti-gravitational) force in the nonrelativistic limit; in addition, the deflection angle of a light ray moving in a plane orthogonal to the string depends on the impact parameter.

[1]  A. Accioly,et al.  CONFORMAL COUPLING AND FOLDY WOUTHUYSEN TRANSFORMATION , 2003 .

[2]  A. Accioly,et al.  Exact Foldy-Wouthuysen transformation for real spin-0 particle in curved space , 2002, gr-qc/0201015.

[3]  A. Accioly,et al.  Gravitational Rainbow , 2001, gr-qc/0107003.

[4]  A. Accioly,et al.  Scattering of Photons by an External Gravitational Field in the Framework of Higher-Derivative Gravity , 2000 .

[5]  P. Teyssandier Linearised R+R2 gravity: a new gauge and new solutions , 1989 .

[6]  G. Matsas,et al.  Are there causal vacuum solutions with the symmetries of the Gödel universe in higher-derivative gravity? , 1988, Physical review. D, Particles and fields.

[7]  A. Accioly,et al.  Homogeneous space‐times of Gödel‐type in higher‐derivative gravity , 1987 .

[8]  Ferrara,et al.  Matter coupling in higher-derivative supergravity. , 1986, Physical review. D, Particles and fields.

[9]  S. Deser,et al.  Energy and Supercharge in Higher Derivative Gravity , 1986 .

[10]  L. Girardello,et al.  Lorentz Chern-Simons terms in N = 1 4D supergravity consistent with supersymmetry and string compactification , 1985 .

[11]  B. Zwiebach Curvature Squared Terms and String Theories , 1985 .

[12]  A. Strominger Positive-energy theorem for R + R 2 gravity , 1984 .

[13]  A. Vilenkin Gravitational Field of Vacuum Domain Walls and Strings , 1981 .

[14]  Claudio Rebbi,et al.  Interaction energy of superconducting vortices , 1979 .

[15]  K. Stelle Renormalization of Higher Derivative Quantum Gravity , 1977 .