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The quadratic approximation for quintessence with arbitrary initial conditions

dc.contributor.advisorScherrer, Robert J. (Robert Joseph), 1959-
dc.contributor.authorSwaney, Jeffrey
dc.description.abstractWe examine models of quintessence in which a minimally-coupled scalar field phi evolves near a local extremum of its potential V ( phi) at phi_*. Assuming that (1/V )(dV/dphi) is small and w ~ -1, we Taylor expand the potential about phi_* and derive a general expression for w(a). The dynamics of this field are determined by the initial and final equation of state parameters w_i and w_0, the quantity V''( phi_*)/V(phi_*), and the direction of \dot\phi_i in relation to \dot\phi _0. This approximation is then tested for six values of V''( phi_*)/V(phi_*) and shown to lie within 2% of the exact solution for five of these cases. However, the model becomes less precise near certain values of V''( phi_*)/V(phi_*) where \dot\phi becomes very large.en_US
dc.publisherVanderbilt University. Department of Physics and Astronomyen_US
dc.rightsCC0 1.0 Universal*
dc.subjectDark energyen_US
dc.subject.lcshDark energy (Astronomy)en_US
dc.subject.lcshDark energy (Astronomy) -- Mathematical modelsen_US
dc.subject.lcshDark matter (Astronomy)en_US
dc.subject.lcshScalar field theoryen_US
dc.titleThe quadratic approximation for quintessence with arbitrary initial conditionsen_US
dc.description.collegeCollege of Arts and Scienceen_US
dc.description.departmentDepartment of Physics and Astronomyen_US

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CC0 1.0 Universal
Except where otherwise noted, this item's license is described as CC0 1.0 Universal