Asymmetric brane-worlds with induced gravity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 71, Issue 2, 2005, Pages

  Gergely, László Á ^a,b   Maartens, Roy ^a  

^a UNIVERSITY OF PORTSMOUTH   (United Kingdom)

^b UNIVERSITY OF SZEGED   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; COSMOS; GRAVITY; MATHEMATICAL ANALYSIS; SPACE;

EID: 84927754457     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.024032     Document Type: Article

References (31)

1. For recent reviews, see D. Langlois, gr-qc/0410129; P. Brax, C. van de Bruck, and A.-C. Davis, Rep. Prog. Phys. 67, 2183 (2004); R. Maartens, Living Rev. Relativity 7, 1 (2004).
2. For recent reviews, see D. Langlois, gr-qc/0410129; P. Brax, C. van de Bruck, and A.-C. Davis, Rep. Prog. Phys. 67, 2183 (2004); R. Maartens, Living Rev. Relativity 7, 1 (2004).
3. For recent reviews, see D. Langlois, gr-qc/0410129; P. Brax, C. van de Bruck, and A.-C. Davis, Rep. Prog. Phys. 67, 2183 (2004); R. Maartens, Living Rev. Relativity 7, 1 (2004).
4. T. Shiromizu, K. Maeda, and M. Sasaki, Phys. Rev. D 62, 024012 (2000).
5. L. A. Gergely, Phys. Rev. D 68, 124011 (2003). The conversion from the notation of our paper is [Jab, Λ̃] → [E ab, κ̃2Λ̃].
6. C. Deffayet, Phys. Rev. D 66, 103504 (2002).
7. K. Maeda, S. Mizuno, and T. Torii, Phys. Rev. D 68, 024033 (2003).
8. G. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000).
9. C. Deffayet, Phys. Lett. B 502, 199 (2001).
10. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
11. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
12. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
13. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
14. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
15. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
16. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
17. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
18. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
19. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
20. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
21. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
22. See, e.g., H. Collins and B. Holdom, Phys. Rev. D 62, 105009 (2000); Yu. V. Shtanov, hep-th/0005193; S. Nojiri and S. D. Odintsov, J. High Energy Phys. 07 (2000) 049; C. Deffayet, G. R. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002); G. Kofinas, J. High Energy Phys. 08 (2001) 034; E. Kiritsis, N. Tetradis and T. N. Tomaras, J. High Energy Phys. 03 (2002) 019; U. Alam and V. Sahni, astro-ph/0209443; R. G. Vishwakarma and P. Singh, Classical Quantum Gravity 20, 2033 (2003); E. Papantonopoulos and V. Zamarias, J. Cosmol. Astropart. Phys. 10 (2004) 001; H. S. Zhang and R. G. Cai, J. Cosmol. Astropart. Phys. 08 (2004) 017; A. Padilla, hep-th/0406157; M. Bouhmadi-Lopez, R. Maartens, and D. Wands, Phys. Rev. D 70, 123519 (2004); A. Padilla, hep-th/0410033.
23. N. J. Kim, H. W. Lee, and Y. S. Myung, Phys. Lett. B 504, 323 (2001).
24. Y.V. Shtanov, Phys. Lett. B 541, 177 (2002).
25. C. Lanczos, Phys. Z. 23, 539 (1922); Ann. Phys. (Leipzig) 74, 518 (1924).
26. C. Lanczos, Phys. Z. 23, 539 (1922); Ann. Phys. (Leipzig) 74, 518 (1924).
27. N. Sen, Ann. Phys. (Leipzig) 73, 365 (1924).
28. G. Darmois, in Mémorial des Sciences Mathématiques, Fascicule 25 (Gauthier-Villars, Paris, 1927), Chap. V
29. W. Israel, Nuovo Cimento B XLIV, 4349 (1966); XLVIII, 2583(E) (1966)
30. W. Israel, Nuovo Cimento B XLIV, 4349 (1966); XLVIII, 2583(E) (1966)
31. R. Maartens, Phys. Rev. D 62, 084023 (2000).