On the maximum gravitational redshift of white dwarfs

Details On the maximum gravitational redshift of white dwarfs On the maximum gravitational redshift of white dwarfs

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...203..697s&link_type=abstract

Astrophysical Journal, vol. 203, Feb. 1, 1976, pt. 1, p. 697-700.

Astronomy and Astrophysics

Astrophysics

9

Gravitation Theory, Red Shift, Relativistic Theory, White Dwarf Stars, Gravitational Fields, Heavy Nuclei, Stellar Rotation

Scientific paper

The stability of rigidly rotating cold white dwarfs of uniform composition is analyzed by the energy method in the framework of the parameterized post-Newtonian (PPN) formalism of Will and Nordtvedt (1973). The maximum central density and corresponding maximum gravitational redshift of a white dwarf are determined in terms of a dimensionless constant that is a function of five of the nine PPN parameters, and the effects of uniform rotation on the stability limit are considered. The results show that general relativity predicts a maximum observable redshift of 571 km/s for a stable white dwarf composed of carbon or helium and a lower value for stars composed of heavier nuclei (in which case neutronization determines the maximum value). It is found that uniform rotation can increase the maximum redshift to 647 km/s in the case of carbon and to 893 km/s in the case of helium. It is concluded that a systematic survey of white dwarf redshifts may help to determine the composition of their cores and to confirm theoretical calculations of the late stages of stellar evolution for stars that are smaller than about 4 solar masses.

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