The effective σ-model of multidimensional gravity

Journal of Mathematical Physics

Volumn 40, Issue 10, 1999, Pages 5157-5183

  Rainer, Martin ^a,b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240856     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533023     Document Type: Article

References (28)

1. P. Breitenlohner, D. Maison, and G. Gibbons. Commun. Math. Phys. 120, 295 (1988).
2. R. Geroch, J. Math. Phys. 12, 918 (1971); J. Math. Phys. 13, 394 (1972).
3. R. Geroch, J. Math. Phys. 12, 918 (1971); J. Math. Phys. 13, 394 (1972).
4. D. V. Gal'tsov, Phys. Rev. Lett. 74, 2863 (1995).
5. D. V. Gal'tsov and O. A. Rytchkov, Generating branes via sigma models, hep-th/9801160.
6. D. Korotkin and H. Samtleben, Yangian symmetry in integrable quantum gravity, hep-th/9710210.
7. A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996).
8. M. J. Duff, Int. J. Mod. Phys. A 11, 5623 (1996).
9. J. Scherk and J. H. Schwarz. Phys. Lett. B 57, 463 (1975).
10. J. K. Beem, P. E. Ehrlich, and K. L. Easley, Global Lorentzian Geometry, Pure and Applied Mathematics 202, 2nd ed. (Marcel Dekker, New York, 1996).
11. M. Rainer and A. Zhuk. Phys. Rev. D 54, 6186 (1996).
12. G. W. Gibbons and S. W. Hawking. Phys. Rev. D 15, 2752 (1977).
13. J. W. York, Phys. Rev. Lett. 28, 1082 (1972); Found. Phys. 16, 249 (1986).
14. J. W. York, Phys. Rev. Lett. 28, 1082 (1972); Found. Phys. 16, 249 (1986).
15. M. Rainer, Hadronic J. 21, 351 (1998); Proceedings of the International Workshop on Modern Modified Theories of Gravitation and Cosmology, Beer Sheva, June 29-30, 1997.
16. M. Rainer, Hadronic J. 21, 351 (1998); Proceedings of the International Workshop on Modern Modified Theories of Gravitation and Cosmology, Beer Sheva, June 29-30, 1997.
17. M. Rainer, Int. J. Mod. Phys. D 4, 397 (1995).
18. M. Rainer, Gravitation and Cosmology 1, 121 (1995).
19. H. Bondi and T. Gold, Mon. Not. R. Astron. Soc. 108, 252 (1948).
20. U. Bleyer and A. Zhuk, Astron. Nachr. 317, 161 (1996).
21. V. D. Ivashchuk, V. N. Melnikov, and M. Rainer gr-gc/9708058, Grav. and Cosmol. 4, 73-82 (1998).
22. K. A. Bronnikov, U. Kasper, and M. Rainer, Intersecting electric and magnetic p-branes: spherically symmetric solutions, preprint P-Math-97/21, gr-qc/9708058 (to appear in Gen. Rel. Grav.).
23. M. Heusler, Black Hole Uniqueness Theorems (Cambridge Lecture Notes in Physics 6, Cambridge University Press, 1996).
24. M. Gasperini and G. Veneziano, Mod. Phys. Lett. A 8, 3701 (1993); Phys. Rev. D 50, 2519 (1994).
25. M. Gasperini and G. Veneziano, Mod. Phys. Lett. A 8, 3701 (1993); Phys. Rev. D 50, 2519 (1994).
26. M. Rainer and A. Zhuk, Einstein and Brans-Dicke frames in multidimensional cosmology, gr-qc/9808073.
27. Y. Satoh, BTZ black holes and their near-horizon geometry of higher-dimensional black holes, hep-th/9810135.
28. A. Ashtekar, J. Baez, A. Corichi, and K. Krasnov, Phys. Rev. Lett. 80, 904 (1998).