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The quadratic approximation for quintessence with arbitrary initial conditions
dc.contributor.advisor | Scherrer, Robert J. (Robert Joseph), 1959- | |
dc.contributor.author | Swaney, Jeffrey | |
dc.date.accessioned | 2014-08-06T17:34:02Z | |
dc.date.available | 2014-08-06T17:34:02Z | |
dc.date.issued | 2014-04 | |
dc.identifier.uri | http://hdl.handle.net/1803/6629 | |
dc.description.abstract | We 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.language.iso | en_US | en_US |
dc.publisher | Vanderbilt University. Department of Physics and Astronomy | en_US |
dc.rights | CC0 1.0 Universal | * |
dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
dc.subject | Dark energy | en_US |
dc.subject | Quintessence | en_US |
dc.subject | w(a) | en_US |
dc.subject.lcsh | Dark energy (Astronomy) | en_US |
dc.subject.lcsh | Dark energy (Astronomy) -- Mathematical models | en_US |
dc.subject.lcsh | Dark matter (Astronomy) | en_US |
dc.subject.lcsh | Scalar field theory | en_US |
dc.title | The quadratic approximation for quintessence with arbitrary initial conditions | en_US |
dc.type | Thesis | en_US |
dc.description.college | College of Arts and Science | en_US |
dc.description.department | Department of Physics and Astronomy | en_US |
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Except where otherwise noted, this item's license is described as CC0 1.0 Universal