A Super-Earth Orbiting an Extremely Inactive Host Star

In this paper we present a deep X-ray observation of the nearby M dwarf GJ\,357 and use it to put constraints on the atmospheric evolution of its planet, GJ\,357\,b. We also analyse the systematic errors in the stellar parameters of GJ~357 in order to see how they affect the perceived planetary properties. We estimate the age of GJ\,357\,b by comparing the observed X-ray luminosity of its host star, derived from a recent {\em XMM-Newton} observation {($\log{L_{\rm x}}\,{\rm [erg/s]} = 25.73$), with $L_{\rm x} -$ age relations for M dwarfs. We find that GJ\,357 presents one of the lowest X-ray activity levels ever measured for an M dwarf, and we put a lower limit on its age of $5$\,Gyr.} Using this age limit, we perform a backwards reconstruction of the original primordial atmospheric reservoir. Furthermore, by considering the systematic errors in the stellar parameters, we find a range of possible planetary masses, radii, and densities. From the backwards reconstruction of GJ\,357\,b's irradiation history we find that the upper limit of its initial primordial atmospheric mass is $\sim \rm 38M_{\oplus}$. An initial atmospheric reservoir significantly larger than this may have survived through the X-ray and ultraviolet irradiation history, hence being inconsistent with current observations that suggest a telluric composition. In spite of the unlikelihood of a currently existing primordial envelope, volcanism and outgassing may have contributed to a secondary atmosphere. Under this assumption, we present three different synthetic infrared spectra for GJ\,357\,b that one might expect, consisting of $100\%~\rm CO_{2}$, $100\%~\rm SO_{2}$, and $75\%~ \rm N_{2}$, $24\%~\rm CO_{2}$ and $1\%~\rm H_{2}O$.