TY - JOUR
T1 - Quantum modified Regge-Teitelboim cosmology
AU - Cordero, Rubén
AU - Cruz, Miguel
AU - Molgado, Alberto
AU - Rojas, Efraín
N1 - Funding Information:
Acknowledgments The authors are grateful to Alexander Vilenkin for helpful discussions. AM acknowledges support from PROMEP UASLP-PTC-402. ER acknowledges partial support from Grant PROMEP, CA-UV: Algebra, Geometría y Gravitación. M.C. was supported by PUCV through Proyecto DI Postdoc-torado 2014. Also, E.R. and M.C. acknowledge partial support from the Grant CONACyT CB-2012-01-177519. This work was partially supported by SNI (México). RC also acknowledges support from EDI, COFAA-IPN, SIP-20131541 and SIP-20144150.
PY - 2014/7
Y1 - 2014/7
N2 - The canonical quantization of the modified geodetic brane cosmology which is implemented from the Regge-Teitelboim model and the trace of the extrinsic curvature of the brane trajectory, K, is developed. As a second-order derivative model, on the grounds of the Ostrogradski Hamiltonian method and the Dirac's scheme for constrained systems, we find suitable first- and second-class constraints which allow for a proper quantization. We also find that the first-class constraints obey a sort of truncated Virasoro algebra. The effective quantum potential emerging in our approach is exhaustively studied where it shows that an embryonic epoch is still present. The quantum nucleation is sketched where we observe that it is driven by an effective cosmological constant.
AB - The canonical quantization of the modified geodetic brane cosmology which is implemented from the Regge-Teitelboim model and the trace of the extrinsic curvature of the brane trajectory, K, is developed. As a second-order derivative model, on the grounds of the Ostrogradski Hamiltonian method and the Dirac's scheme for constrained systems, we find suitable first- and second-class constraints which allow for a proper quantization. We also find that the first-class constraints obey a sort of truncated Virasoro algebra. The effective quantum potential emerging in our approach is exhaustively studied where it shows that an embryonic epoch is still present. The quantum nucleation is sketched where we observe that it is driven by an effective cosmological constant.
KW - Brane-like cosmology
KW - Canonical quantization
KW - Constrained systems
UR - http://www.scopus.com/inward/record.url?scp=84902707175&partnerID=8YFLogxK
U2 - 10.1007/s10714-014-1761-8
DO - 10.1007/s10714-014-1761-8
M3 - Artículo
SN - 0001-7701
VL - 46
SP - 1
EP - 20
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
IS - 7
M1 - 1761
ER -