Jordan and Einstein Frames Hamiltonian Analysis for FLRW Brans-Dicke Theory
Keyword(s):
We analyze the Hamiltonian equivalence between Jordan and Einstein frames considering a mini-superspace model of the flat Friedmann–Lemaître–Robertson–Walker (FLRW) Universe in the Brans–Dicke theory. Hamiltonian equations of motion are derived in the Jordan, Einstein, and anti-gravity (or anti-Newtonian) frames. We show that, when applying the Weyl (conformal) transformations to the equations of motion in the Einstein frame, we did not obtain the equations of motion in the Jordan frame. Vice-versa, we re-obtain the equations of motion in the Jordan frame by applying the anti-gravity inverse transformation to the equations of motion in the anti-gravity frame.
2015 ◽
Vol 30
(28n29)
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pp. 1545012
Keyword(s):
2018 ◽
Vol 07
(03)
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pp. 1850020
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1997 ◽
Vol 14
(12)
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pp. 3243-3258
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1997 ◽
Vol 18
(11)
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pp. 1354-1364
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2013 ◽
Vol 28
(12)
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pp. 1350042
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Keyword(s):
2011 ◽
Vol 63
(2)
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pp. 315-327
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