Inflation in inhomogeneous cosmology

Esteban Calzetta; Maria Sakellariadou

doi:10.1103/PhysRevD.45.2802

Access by Xinjiang University

Inflation in inhomogeneous cosmology

Esteban Calzetta

Maria Sakellariadou

Instituto de Astronomía y Física del Espacio, Casilla de Correo 67-Sucursal 28, 1428 Buenos Aires, Argentina and Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina

Research Group in General Relativity, Faculté des Sciences, Campus Plaine CP231, Université Libre de Bruxelles, Boulevard du Triomphe, 1050 Bruxelles, Belgium

PDF

Phys. Rev. D 45, 2802 – Published 15 April, 1992

DOI: https://doi.org/10.1103/PhysRevD.45.2802

Abstract

We discuss the onset of inflation in an inhomogeneous, asymptotically Friedmann-Robertson-Walker universe coupled to a scalar inflaton field. We consider a three-parameter family of inhomogeneous Cauchy data, for which we can solve analytically the constraint equations. Inflation only occurs if the Cauchy data are homogeneous over several horizon lengths.

References (11)

D. N. Schramm, in Proceedings of the 25th International Conference on High Energy Physics, Singapore, 1990, edited by K. K. Phua and Y. Yamaguchi (World Scientific, Singapore, 1991) M. S. Turner, Proceedings of the IUPAP Conference on Primordial Nucleosynthesis and the Early Evolution of the Universe, edited by K. Sato (Kluwer, Dordrecht, 1991)
A. H. Guth, Phys. Rev. D 23, 347 (1981) A. D. Linde, Rep. Prog. Phys. 47, 925 (1984) M. S. Turner, in Fundamental Interactions and Cosmology, Proceedings of the Cargèse Summer School, Cargèse, France, 1984, edited by J. Audouze and J. Tran Thanh Van (Editions Frontières, Gif-sur-Yvette, France, 1985) K. Olive, Phys. Rep. 190, 309 (1990)
G. Steigman and M. S. Turner, Phys. Lett. 128B, 295 (1983) M. S. Turner and L. M. Widrow, Phys. Rev. Lett. 57, 2237 (1986) I. Moss and V. Sahni, Phys. Lett. B 178, 159 (1986) L. G. Jensen and J. Stein-Schabes, Phys. Rev. D 34, 931 (1986) J. D. Barrow and O. Gron, Phys. Lett. B 182, 25 (1987)
J. Bardeen, Phys. Rev. D 22, 1882 (1980) J. Frieman and C. Will, Astrophys. J. 259, 437 (1982) H. Feldman and R. Brandenberger, Phys. Lett. B 227, 359 (1989) R. Brandenberger and H. Feldman, ibid. 220, 361 (1989) D. S. Salopek and J. R. Bond, Phys. Rev. D 43, 1005 (1991)
T. Piran, Phys. Lett. B 181, 238 (1986) D. S. Goldwirth, Phys. Rev. D 43, 3204 (1991)
(a) T. Piran and R. M. Williams, Phys. Lett. 163B, 331 (1985) H. Kurki-Suonio, J. Centrella, R. A. Matzner, and J. R. Wilson, Phys. Rev. D 35, 435 (1987) D. S. Goldwirth and T. Piran, ibid. 40, 3263 (1989) (b) D. S. Goldwirth, Phys. Lett. B 243, 41 (1990) (c) D. S. Goldwirth and T. Piran, Phys. Rev. Lett. 64, 2852 (1990) D. S. Goldwirth, Phys. Rev. D 43, 3204 (1991) D. S. Goldwirth and T. Piran, CFA report, 1991 (unpublished)
L. Landau and E. Lifshitz, The Classical Theory of Fields, 4th ed. (Pergamon, New York, 1975)
A. D. Linde, in The Very Early Universe, Proceedings of the Nuffield Workshop, Cambridge, England, 1982, edited by G. W. Gibbons, S. W. Hawking, and S. T. C. Siklos (Cambridge University Press, Cambridge, England, 1982)
Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972)
N. Deruelle, C. Gundlach, and D. Polarski, Class. Quantum Grav. (to be published)
E. Calzetta, Phys. Rev. D 44, 3043 (1991)

[c1] D. N. Schramm, in Proceedings of the 25th International Conference on High Energy Physics, Singapore, 1990, edited by K. K. Phua and Y. Yamaguchi (World Scientific, Singapore, 1991) M. S. Turner, Proceedings of the IUPAP Conference on Primordial Nucleosynthesis and the Early Evolution of the Universe, edited by K. Sato (Kluwer, Dordrecht, 1991)

[c2] A. H. Guth, Phys. Rev. D 23, 347 (1981) A. D. Linde, Rep. Prog. Phys. 47, 925 (1984) M. S. Turner, in Fundamental Interactions and Cosmology, Proceedings of the Cargèse Summer School, Cargèse, France, 1984, edited by J. Audouze and J. Tran Thanh Van (Editions Frontières, Gif-sur-Yvette, France, 1985) K. Olive, Phys. Rep. 190, 309 (1990)

[c3] G. Steigman and M. S. Turner, Phys. Lett. 128B, 295 (1983) M. S. Turner and L. M. Widrow, Phys. Rev. Lett. 57, 2237 (1986) I. Moss and V. Sahni, Phys. Lett. B 178, 159 (1986) L. G. Jensen and J. Stein-Schabes, Phys. Rev. D 34, 931 (1986) J. D. Barrow and O. Gron, Phys. Lett. B 182, 25 (1987)

[c4] J. Bardeen, Phys. Rev. D 22, 1882 (1980) J. Frieman and C. Will, Astrophys. J. 259, 437 (1982) H. Feldman and R. Brandenberger, Phys. Lett. B 227, 359 (1989) R. Brandenberger and H. Feldman, ibid. 220, 361 (1989) D. S. Salopek and J. R. Bond, Phys. Rev. D 43, 1005 (1991)

[c5] T. Piran, Phys. Lett. B 181, 238 (1986) D. S. Goldwirth, Phys. Rev. D 43, 3204 (1991)

[c6] (a) T. Piran and R. M. Williams, Phys. Lett. 163B, 331 (1985) H. Kurki-Suonio, J. Centrella, R. A. Matzner, and J. R. Wilson, Phys. Rev. D 35, 435 (1987) D. S. Goldwirth and T. Piran, ibid. 40, 3263 (1989) (b) D. S. Goldwirth, Phys. Lett. B 243, 41 (1990) (c) D. S. Goldwirth and T. Piran, Phys. Rev. Lett. 64, 2852 (1990) D. S. Goldwirth, Phys. Rev. D 43, 3204 (1991) D. S. Goldwirth and T. Piran, CFA report, 1991 (unpublished)

[c7] L. Landau and E. Lifshitz, The Classical Theory of Fields, 4th ed. (Pergamon, New York, 1975)

[c8] A. D. Linde, in The Very Early Universe, Proceedings of the Nuffield Workshop, Cambridge, England, 1982, edited by G. W. Gibbons, S. W. Hawking, and S. T. C. Siklos (Cambridge University Press, Cambridge, England, 1982)

[c9] Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972)

[c10] N. Deruelle, C. Gundlach, and D. Polarski, Class. Quantum Grav. (to be published)

[c11] E. Calzetta, Phys. Rev. D 44, 3043 (1991)

Physical Review D

Export citation

Export citation

Inflation in inhomogeneous cosmology

Abstract

References (11)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation