Feasibility of Reconstructing the Quintessential Potential Using SNIa Data

Details Feasibility of Reconstructing the Quintessential Potential Using SNIa Data Feasibility of Reconstructing the Quintessential Potential Using SNIa Data

2000-08-11

arxiv.org/abs/astro-ph/0008175v2

Phys.Rev.D62:121301,2000

Astronomy and Astrophysics

Astrophysics

12 pages. Updates to match accepted version

Scientific paper

10.1103/PhysRevD.62.121301

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.

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