Exponential potentials on the brane

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 67, Issue 10, 2003, Pages

  Goheer, Naureen ^a   Dunsby, Peter K S ^a,b  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

^b SOUTH AFRICAN ASTRONOMICAL OBSERVATORY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; COSMOS; DYNAMICS; ENERGY; EQUILIBRIUM CONSTANT; LIQUID; MODEL;

EID: 0346713384     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.103513     Document Type: Article

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20. In order to recover conventional gravity on the brane (Formula presented) must be assumed to be positive.
21. For (Formula presented) the Jacobian is well defined and the nonzero eigenvalues of (Formula presented) are given by (Formula presented)
22. If the potential is flat (Formula presented) Eq. (29) is satisfied for any values of (Formula presented)We will not discuss this case in much detail since it is physically not very interesting.
23. As explained above, the static model (Formula presented) with (Formula presented) and (Formula presented) must be excluded.
24. For (Formula presented) the Jacobian is well defined and the nonzero eigenvalues of (Formula presented) are given by (Formula presented)
25. This model is referred to as the BRW solution (Formula presented) in 1819.
26. We also find that the line of the isotropic flat and collapsing models with (Formula presented) (Formula presented) including the flat FLRW model and the maximally nongeneral relativistic BDL model is a sink for all values of b in both the FLRW case and the Bianchi type I case; hence all of the models contained in that line are stable in the past and possible as initial configurations if we allow for (Formula presented)