HAMILTONIAN ANALYSIS OF n-DIMENSIONAL PALATINI GRAVITY WITH MATTER
2005 ◽
Vol 20
(10)
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pp. 725-731
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Keyword(s):
We consider the Palatini formalism of gravity with cosmological constant Λ coupled to a scalar field ϕ in n dimensions. The n-dimensional Einstein equations with Λ can be derived by the variation of the coupled Palatini action provided n>2. The Hamiltonian analysis of the coupled action is carried out by a 1+(n-1) decomposition of the spacetime. It turns out that both Palatini action and Hilbert action lead to the same geometric dynamics in the presence of Λ and ϕ while the n-dimensional Palatini action could not give a dynamical formalism of connection directly.
1992 ◽
Vol 07
(27)
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pp. 2463-2467
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Keyword(s):
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1993 ◽
Vol 25
(8)
◽
pp. 855-860
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Keyword(s):
2018 ◽
Vol 33
(27)
◽
pp. 1850159
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2019 ◽
Vol 28
(01)
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pp. 1950022
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Keyword(s):
1989 ◽
Vol 04
(06)
◽
pp. 513-518
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