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Feasibility of reconstructing the quintessential potential using SNIa data

Aug, 2000

12 pages

Published in:

Phys.Rev.D 62 (2000) 121301

e-Print:

astro-ph/0008175 [astro-ph]

DOI:

10.1103/PhysRevD.62.121301

Report number:

KUNS-1677,
YITP-00-41

View in:

ADS Abstract Service

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Abstract: (arXiv)

We investigate the feasibility of the method for reconstructing the equation of state and the effective potential of the quintessence field from SNIa data. We introduce a useful functional form to fit the luminosity distance with good accuracy (the relative error is less than 0.1%). We assess the ambiguity in reconstructing the equation of state and the effective potential which originates from the uncertainty in

\Omega_M

. We find that the equation of state is sensitive to the assumed

\Omega_M

, while the shape of the effective potential is not. We also demonstrate the actual reconstruction procedure using the data created by Monte-Carlo simulation. Future high precision measurements of distances to thousands of SNIa could reveal the shape of the quintessential potential.

supernova
quintessence
effective potential
luminosity
numerical calculations

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