Semiclassical approach to stability of the extra-dimensional spaces in higher-curvature gravity theories

Classical and Quantum Gravity

Volumn 16, Issue 6, 1999, Pages 1873-1888

  Ezawa, Yasuo ^a   Kajihara, Masahiro ^a   Kiminami, Masahiko ^a   Soda, Jiro ^b   Yano, Tadashi ^a  

^a EHIME UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033242728     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/16/6/320     Document Type: Article

References (35)

1. Cremmer E, Horvath Z, Palla L and Scherk J 1977 Nucl. Phys. B 127 57
2. Maeda K 1986 Class. Quantum Grav. 3 233 Maeda K 1986 Class. Quantum Grav. 3 651
3. Maeda K 1986 Class. Quantum Grav. 3 233 Maeda K 1986 Class. Quantum Grav. 3 651
4. Accetta F S, Gleiser M, Holman R and Kolb E W 1986 Nucl. Phys. B 276 501
5. Szydlowski M 1988 Phys. Lett. B 215 711 Szydlowski M 1992 Acta Cosmologica 18 85
6. Szydlowski M 1988 Phys. Lett. B 215 711 Szydlowski M 1992 Acta Cosmologica 18 85
7. Bleyer U and Zhuk A 1995 Gravit. Cosmol. 1 106 Bleyer U and Zhuk A 1998 Class. Quantum Grav. 15 2025
8. Bleyer U and Zhuk A 1995 Gravit. Cosmol. 1 106 Bleyer U and Zhuk A 1998 Class. Quantum Grav. 15 2025
9. Ivashchuk V D and Melnikov V N 1995 Gravit. Cosmol. 1 133
10. Günther U and Zhuk A 1997 Phys. Rev. D 56 6391
11. Günther U, Kriskiv S and Zhuk A 1998 Gravit. Cosmol. 4 1
12. Ezawa Y, Kakimoto F, Soda J and Yano T 1997 Class. Quantum Grav. 14 257
13. Ezawa Y, Watanabe T and Yano T 1991 Prog.Theor. Phys. 86 89
14. Stelle K 1977 Phys. Rev. D 16 953
15. Ezawa Y, Kajihara M, Kiminami M, Soda J and Yano T 1999 Class. Quantum Grav. 16 1127 (Ezawa Y, Kajihara M, Kiminami M, Soda J and Yano T 1998 A canonical formalism for a higher-curvature gravity Preprint gr-qc/9801084)
16. Ezawa Y, Kajihara M, Kiminami M, Soda J and Yano T 1999 Class. Quantum Grav. 16 1127 Ezawa Y, Kajihara M, Kiminami M, Soda J and Yano T 1998 A canonical formalism for a higher-curvature gravity Preprint gr-qc/9801084)
17. Buchbinder I L and Lyahovich S L 1987 Class. Quantum Grav. 4 1487
18. Boulware D G 1984 Quantum Theory of Gravity ed S M Christensen (Bristol: Hilger) p 267
19. Rainer M and Zhuk A 1996 Phys. Rev. D 54 6186
20. Arnowitt R, Deser S and Misner C 1962 Gravitation: an Introduction to Current Research ed L Witten (New York: Wiley)
21. For a review, see e.g. Magnano G and Sokolowski L M 1994 Phys. Rev. D 50 5039 Faraoni V, Gunzig E and Nardone P 1998 Conformal transformations in classical gravitation theories and in cosmology Preprint gr-qc/9811042
22. For a review, see e.g. Magnano G and Sokolowski L M 1994 Phys. Rev. D 50 5039 Faraoni V, Gunzig E and Nardone P 1998 Conformal transformations in classical gravitation theories and in cosmology Preprint gr-qc/9811042
23. Kiefer C 1994 Canonical Gravity: from Classical to Quantum ed J Ehlers and H Friedlich (Berlin: Springer)
24. Ivashchuk V D, Melni V Dov k and Zhuk A I 1989 Nuovo Cimento B 104 575
25. Ezawa H Private communication
26. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
27. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
28. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
29. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
30. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
31. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
32. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
33. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
34. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073
35. Teyssandier P and Tourenc P 1983 J. Math. Phys. 24 2793 Witt B 1984 Phys. Lett. B 145 176 Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95 Barrow J D and Cotsakis S 1988 Phys. Lett. B 214 515 Maeda K 1989 Phys. Rev. D 39 3159 Brans C H 1988 Class. Quantum Grav. 5 L197 Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361 Nishioka T and Fujii Y 1992 Phys. Rev. D 45 2140 Capozziello S, de Ritis R and Marino A A 1997 Class. Quantum Grav. 14 3243 Rainer M and Zhuk A 1998 Einstein and Brans-Dicke frames in multidimensional cosmology Preprint gr-qc/9808073