Gravitational redshifts in main-sequence and giant stars

TL;DR

This study investigates gravitational redshifts in stars of different types within the M67 cluster, finding that atmospheric dynamics and hydrodynamics significantly influence observed spectral shifts, complicating direct detection of gravitational effects.

Contribution

The paper combines observational data with 3D hydrodynamic models to explain the absence of expected gravitational redshift signatures in stellar spectra.

Findings

Observed radial velocities show no significant gravitational redshift difference.

Hydrodynamic effects in stellar atmospheres can mask gravitational redshift signals.

3D models predict smaller wavelength shifts than pure gravitational effects.

Abstract

Gravitational redshifts in solar-type main-sequence stars are expected to be some 500 ms$^{-1}$ greater than those in giants. Such a signature is searched for between groups of open-cluster stars which share the same average space motion and thus have the same average Doppler shift. 144 main-sequence stars and cool giants were observed in the M67 open cluster using the ESO FEROS spectrograph, obtaining radial velocities by cross correlation with a spectral template. M67 dwarf and giant radial-velocity distributions are well represented by Gaussian functions, sharing the same apparent average radial velocity within $\simeq$ 100 ms$^{-1}$. In addition, dwarfs in M67 appear to be dynamically hotter ($\sigma$ = 0.90 kms$^{-1}$) than giants ($\sigma$ = 0.68 kms$^{-1}$). Explanations for the lack of an expected signal are sought: a likely cause is the differential wavelength shifts produced by different hydrodynamics in dwarf and giant atmospheres. Radial-velocity differences measured between unblended lines in low-noise averaged spectra vary with line-strength: stronger lines are more blushifted in dwarfs than in giants, apparently 'compensating' for the gravitational redshift. Synthetic high-resolution spectra are computed from 3-dimensional hydrodynamic model atmospheres for both giants and dwarfs, and synthetic wavelength shifts obtained. In agreement with observations, 3D models predict substantially smaller wavelength-shift differences than expected from gravitational redshift only. The procedures developed could be used to test 3D models for different classes of stars, but will ultimately require high-fidelity spectra for measurements of wavelength shifts in individual spectral lines.