Scattering and collision of gravitational waves in Friedmann-Robertson-Walker open universes

Jiří Bičák; Jerry B. Griffiths

doi:10.1103/PhysRevD.49.900

Access by Xinjiang University

Scattering and collision of gravitational waves in Friedmann-Robertson-Walker open universes

Jiří Bičák

Jerry B. Griffiths

Department of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 18000 Prague 8, Czech Republic

Department of Mathematical Sciences, University of Technology, Loughborough, Leicestershire LE11 3TU, United Kingdom

PDF

Phys. Rev. D 49, 900 – Published 15 January, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.900

Abstract

An exact solution is presented which describes the scattering of a gravitational wave in an open expanding universe. The background region ahead of the wave is taken to be a Friedmann-Robertson-Walker ( $k = - 1$ ) space-time containing a perfect fluid with an extreme relativistic equation of state $p = ρ$ . Plane surfaces are determined in this background, so that solutions describing the scattering of a single wave with a wave front given by such a surface and the collision of two such waves can be obtained.

References (19)

J. Bičák, in Proceedings of the Fifth Marcel Grossmann Meeting on General Relativity, Perth, Australia, 1988, edited by D. G. Blair and M. J. Buckingham (World Scientific, Singapore, 1989), p. 309 J. Bičák and B. Schmidt, Phys. Rev. D 40, 1827 (1989)
J. B. Griffiths, Colliding Plane Waves in General Relativity (Oxford University Press, New York, 1991)
J. Centrella, Astrophys. J. 241, 875 (1980)
J. Centrella and R. A. Matzner, Phys. Rev. D 25, 930 (1982)
E. Verdaguer, Phys. Rep. 229, 1 (1993)
P. T. Boyd, J. M. Centrella, and S. A. Klasky, Phys. Rev. D 43, 379 (1991)
M. Carmeli, Ch. Charach, and S. Malin, Phys. Rep. 76, 79 (1981)
P. J. Adams et al., Astrophys. J. 253, 1 (1982)
R. Tabensky and A. H. Taub, Commun. Math. Phys. 29, 61 (1973)
J. Wainwright, Phys. Rev. D 20, 3031 (1979)
J. B. Griffiths, Class. Quantum Grav. 10, 975 (1993)
J. B. Griffiths, J. Math. Phys. 34, 4064 (1993)
C. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973)
J. Wainwright, W. C. W. Ince, and B. J. Marshman, Gen. Relativ. Gravit. 10, 259 (1979)
I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1980)
Wainwright, Ince, and Marshman [14] ([11]) S. Chandrasekhar and B. C. Xanthopoulos, Proc. R. Soc. London A402, 37 (1985)
S. O'Brien and J. L. Synge, Commun. Dublin Inst. Adv. Stud. A 9 (1952) Colliding Plane Waves in General Relativity [2], Chap. 7
Handbook of Mathematical Functions, edited by M. Abromowitz and J. A. Stegun (Dover, New York, 1965), p. 560
F. J. Tipler, Phys. Rev. D 22, 2929 (1980)

[c1] J. Bičák, in Proceedings of the Fifth Marcel Grossmann Meeting on General Relativity, Perth, Australia, 1988, edited by D. G. Blair and M. J. Buckingham (World Scientific, Singapore, 1989), p. 309 J. Bičák and B. Schmidt, Phys. Rev. D 40, 1827 (1989)

[c2] J. B. Griffiths, Colliding Plane Waves in General Relativity (Oxford University Press, New York, 1991)

[c3] J. Centrella, Astrophys. J. 241, 875 (1980)

[c4] J. Centrella and R. A. Matzner, Phys. Rev. D 25, 930 (1982)

[c5] E. Verdaguer, Phys. Rep. 229, 1 (1993)

[c6] P. T. Boyd, J. M. Centrella, and S. A. Klasky, Phys. Rev. D 43, 379 (1991)

[c7] M. Carmeli, Ch. Charach, and S. Malin, Phys. Rep. 76, 79 (1981)

[c8] P. J. Adams et al., Astrophys. J. 253, 1 (1982)

[c9] R. Tabensky and A. H. Taub, Commun. Math. Phys. 29, 61 (1973)

[c10] J. Wainwright, Phys. Rev. D 20, 3031 (1979)

[c11] J. B. Griffiths, Class. Quantum Grav. 10, 975 (1993)

[c12] J. B. Griffiths, J. Math. Phys. 34, 4064 (1993)

[c13] C. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973)

[c14] J. Wainwright, W. C. W. Ince, and B. J. Marshman, Gen. Relativ. Gravit. 10, 259 (1979)

[c15] I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1980)

[c16] Wainwright, Ince, and Marshman [14] ([11]) S. Chandrasekhar and B. C. Xanthopoulos, Proc. R. Soc. London A402, 37 (1985)

[c17] S. O'Brien and J. L. Synge, Commun. Dublin Inst. Adv. Stud. A 9 (1952) Colliding Plane Waves in General Relativity [2], Chap. 7

[c18] Handbook of Mathematical Functions, edited by M. Abromowitz and J. A. Stegun (Dover, New York, 1965), p. 560

[c19] F. J. Tipler, Phys. Rev. D 22, 2929 (1980)

Physical Review D

Export citation

Export citation

Scattering and collision of gravitational waves in Friedmann-Robertson-Walker open universes

Abstract

References (19)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation