TY - JOUR
T1 - Noncommutative Friedmann equations in effective LQC
AU - Díaz-Barrón, Luis Rey
AU - Espinoza-García, Abraham
AU - Pérez-Payán, S.
AU - Socorro, J.
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
PY - 2020/4/1
Y1 - 2020/4/1
N2 - In this work, we construct a noncommutative version of the Friedmann equations in the framework of effective loop quantum cosmology, extending and applying the ideas presented in a previous proposal by some of the authors. The model under consideration is a flat FRW spacetime with a free scalar field. First, noncommutativity in the momentum sector is introduced. We establish the noncommutative equations of motion and obtain the corresponding exact solutions. Such solutions indicate that the bounce is preserved, in particular, the energy density is the same as in the standard LQC. We also construct an extension of the modified Friedmann equations arising in effective LQC which incorporates corrections due to noncommutativity, and argue that an effective potential is induced. This, in turn, leads us to investigate the possibility of an inflationary era. Finally, we obtain the Friedmann and the Raychaudhuri equations when implementing noncommutativity in the configuration sector. In this case, no effective potential is induced.
AB - In this work, we construct a noncommutative version of the Friedmann equations in the framework of effective loop quantum cosmology, extending and applying the ideas presented in a previous proposal by some of the authors. The model under consideration is a flat FRW spacetime with a free scalar field. First, noncommutativity in the momentum sector is introduced. We establish the noncommutative equations of motion and obtain the corresponding exact solutions. Such solutions indicate that the bounce is preserved, in particular, the energy density is the same as in the standard LQC. We also construct an extension of the modified Friedmann equations arising in effective LQC which incorporates corrections due to noncommutativity, and argue that an effective potential is induced. This, in turn, leads us to investigate the possibility of an inflationary era. Finally, we obtain the Friedmann and the Raychaudhuri equations when implementing noncommutativity in the configuration sector. In this case, no effective potential is induced.
KW - Friedmann equations
KW - Noncommutativity
KW - effective loop quantum cosmology
UR - http://www.scopus.com/inward/record.url?scp=85085363519&partnerID=8YFLogxK
U2 - 10.1142/S021827182050039X
DO - 10.1142/S021827182050039X
M3 - Artículo
AN - SCOPUS:85085363519
SN - 0218-2718
VL - 29
JO - International Journal of Modern Physics D
JF - International Journal of Modern Physics D
IS - 6
M1 - 2050039
ER -