EDP Sciences
Free Access
Issue
A&A
Volume 390, Number 3, August II 2002
Page(s) 1115 - 1118
Section The Sun
DOI https://doi.org/10.1051/0004-6361:20020749
Published online 14 August 2002


A&A 390, 1115-1118 (2002)
DOI: 10.1051/0004-6361:20020749

The age of the Sun and the relativistic corrections in the EOS

A. Bonanno1, H. Schlattl2, 3 and L. Paternò3

1  INAF - Osservatorio Astrofisico di Catania, Città Universitaria, 95123 Catania, Italy
2  Astrophysics Research Institute, Liverpool John Moores University, Twelve Quays House, Egerton Wharf, Birkenhead CH41 1LD, UK
3  Dipartimento di Fisica e Astronomia dell'Università, Sezione Astrofisica, Città Universitaria, 95123 Catania, Italy

(Received 18 April 2002 / Accepted 13 May 2002)

Abstract
We show that the inclusion of special relativistic corrections in the revised OPAL and MHD equations of state has a significant impact on the helioseismic determination of the solar age. Models with relativistic corrections included lead to a reduction of about $0.05{-}0.08 \; {\rm Gyr}$ with respect to those obtained with the old OPAL or MHD EOS. Our best-fit value is $t_{\rm seis} = (4.57 \pm 0.11) \; {\rm Gyr}$ which is in remarkably good agreement with the meteoritic value for the solar age. We argue that the inclusion of relativistic corrections is important for probing the evolutionary state of a star by means of the small frequency separations $\delta\nu_{{\ell,n}}=\nu_{{\ell,n}}-\nu_{{\ell+2,n-1}}$, for spherical harmonic degrees $\ell = 0,1$ and radial order $n \gg
\ell$ .


Key words: Sun: interior -- Sun: oscillations -- equation of state

Offprint request: A. Bonanno, abo@ct.astro.it




© ESO 2002

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.