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New Hamiltonian analysis of Regge-Teitelboim minisuperspace cosmology
Phys. Rev. D 89, 043508 – Published 13 February, 2014
DOI: https://doi.org/10.1103/PhysRevD.89.043508
Abstract
A new Hamiltonian formulation of the minisuperspace cosmology following from the geodetic brane gravity model introduced by Regge and Teitelboim is presented. The model is considered in the framework of higher derivative theories which facilitates Hamiltonian formulation. The analysis is done using the equivalent first-order approach. The gauge generator containing the exact number of gauge parameters is constructed. Equivalence between the gauge and reparametrization symmetries has been demonstrated. Complete gauge fixed computations have been provided and formal quantization is done indicating the Wheeler DeWitt equation. Compatibility with existing results is shown.
Article Text
References (33)
- T. Regge and C. Teitelboim, in Proceedings of the Marcel Grossman Meeting, Trieste, Italy, 1975, edited by R. Ruffini (North-Holland, Amsterdam, 1977), p. 77.
- A. Davidson, D. Karasik, and Y. Lederer, Classical Quantum Gravity 16, 1349 (1999); Phys. Rev. D 72, 064011 (2005).
- D. Karasik and A. Davidson, Phys. Rev. D 67, 064012 (2003).
- R. Cordero, A. Molgado, and E. Rojas, Phys. Rev. D 79, 024024 (2009).
- B. Podolsky, Phys. Rev. 62, 68 (1942).
- B. Podolsky and C. Kikuchi, Phys. Rev. 65, 228 (1944); 67, 184 (1945).
- A. Pais and G. E. Uhlenbeck, Phys. Rev. 79, 145 (1950).
- R. D. Pisarski, Phys. Rev. D 34, 670 (1986).
- V. V. Nesterenko, J. Phys. A 22, 1673 (1989).
- M. S. Plyushchay, Int. J. Mod. Phys. A 04, 3851 (1989); Nucl. Phys. B362, 54 (1991).
- R. Banerjee, P. Mukherjee, and B. Paul, J. High Energy Phys. 08 (2011) 085.
- R. Banerjee, B. Paul, and S. Upadhyay, Phys. Rev. D 88, 065019 (2013).
- D. A. Eliezer and R. P. Woodard, Nucl. Phys. B325 389 (1989).
- J. Iliopoulos and B. Zumino, Nucl. Phys. B76, 310 (1974).
- F. S. Gama, M. Gomes, J. R. Nascimento, A.Yu. Petrov, and A. J. da Silva, Phys. Rev. D 84, 045001 (2011).
- G. W. Gibbons, arXiv:hep-th/0302199.
- S. M. Carroll, M. Hoffman, and M. Trodden, Phys. Rev. D 68, 023509 (2003).
- R. P. Woodard, Lect. Notes Phys. 720, 403 (2007).
- I. P. Neupane J. High Energy Phys. 09 (2000) 040.
- S. Nojiri, S. D. Odintsov, and S. Ogushi, Phys. Rev. D 65, 023521 (2001).
- A. Anisimov, E. Babichev, and A. Vikman, J. Cosmol. Astropart. Phys. 06 (2005) 006.
- R. Andringa, E. A. Bergshoeff, M. de Roo, O. Hohm, E. Sezgin, and P. K. Townsend, Classical Quantum Gravity 27, 025010 (2010).
- E. A. Bergshoef, O. Hohm, J. Rosseel, E. Sezgin, and P. K. Townsend, Classical Quantum Gravity 28, 015002 (2011).
- M. Ostrogradsky, Mem. Ac. St. Petersbourg V 14, 385 (1850).
- R. Banerjee, H. J. Rothe, and K. D. Rothe, Phys. Lett. B 463, 248 (1999); 479, 429 (2000).
- R. Banerjee, H. J. Rothe, and K. D. Rothe, J. Phys. A 33, 2059 (2000).
- P. Mukherjee and B. Paul, Phys. Rev. D 85, 045028 (2012).
- B. Paul, Phys. Rev. D 87, 045003 (2013).
- P. A. M. Dirac, Can. J. Math. 2, 129 (1950); P. A. M. DiracLectures on Quantum Mechanics (Dover, New York, 1964).
- R. Arnowitt, S. Deser, and C. W. Misner, Gen. Relativ. Gravit. 40, 1997 (2008).
- S. Deser, F. A. E. Pirani, and D. C. Robinson,Phys. Rev. D 14, 3301 (1976).
- A. Hanson, T. Regge, and C. Tietelboim, Constrained Hamiltonian System (Accademia Nazionale Dei Lincei, Roma, 1976).
- R. Cordero, M. Cruz, A. Molgado, and E. Rojas, arXiv:1309.3031.