Feasibility of reconstructing the quintessential potential using SNIa data

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Supernovae, Particle-Theory And Field-Theory Models Of The Early Universe, Dark Matter

Scientific paper

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