We provide a status report on the determination of stellar ages from asteroseismology for stars of various masses and evolutionary stages. The ability to deduce the ages of stars with a relative precision of typically 10 to 20 % is a unique opportunity for stellar evolution and also of great value for both galactic and exoplanet studies. Further, a major uncalibrated ingredient that makes stellar evolution models uncertain, is the stellar interior rotation frequency Ω(r) and its evolution during stellar life. We summarize the recent achievements in the derivation of Ω(r) for different types stars, offering stringent observational constraints on theoretical models. Core-to-envelope rotation rates during the red-giant stage are far lower than theoretical predictions, pointing towards the need to include new physical ingredients that allow strong and efficient coupling between the core and the envelope in the models of low-mass stars in the evolutionary phase prior to core helium burning. Stars are subject to efficient mixing phenomena, even at low rotation rates. Young massive stars with seismically determined interior rotation frequency reveal low core-to-envelope rotation values.
Asteroseismology: the new route for stellar physicsContemporary stellar structure and evolution theory still has several open questions, the answers having vast implications for exoplanetary, supernova, and (extra)galactic science. One major uncalibrated quantity is the rotation frequency in the stellar interior throughout stellar life. Also the level of chemical mixing inside stars is hard to judge from surface abundance measurements. While models of stars not too different from the Sun in terms of mass, rotation, and evolutionary stage are well scalable from the solar model, this is far less so for stars with appreciably different properties such as high mass, rapid rotation, strong wind, evolved status, etc.A recent driver to improve stellar physics is the availability of long-duration high-cadence quasi-uninterrupted white-light space photometry with a precision of μmag as- ) satellites. This offered the opportunity to confront stellar models with asteroseismic data. This is done by computing the predicted spectrum of normal oscillation modes from theoretical models, by considering small perturbations to the equations of stellar structure, usually in the approximation of a spherically symmetric star. Normal modes are either pressure (p-)modes or gravity (g-)modes, depending Corresponding author: Conny.Aerts@ster.kuleuven.be on whether the pressure force, respectively buoyancy, is the dominant restoring force. Pressure modes probe the stellar envelope while g-modes tune the inner part of star. Such seismic diagnostics are far more suitable to probe stellar interiors compared to measurements of surface quantities. Figure 1 shows part of a typical Kepler light curve for a newly discovered g-mode pulsator, as well as the frequency spectrum based on the entire light curve in the range of maximum amplitude. An extensive description of t...