On the onset of relativistic instability in highly centrally condensed stars

Astronomy and Astrophysics – Astronomy

Scientific paper

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Dynamic Stability, Late Stars, Relativity, Stellar Models, Adiabatic Conditions, Nuclear Fusion, Polytropic Processes

Scientific paper

It is shown that, along the polytropic sequence, the criterion for relativistic instability due to radial perturbation can be written to less than 3 percent accuracy in where the adiabatic constant is close to 4/3. This criterion is expected to indicate when the relativistic instability will become relevant for highly centralized condensed stars like those in the late stages of stellar evolution when elements of higher atomic number are being synthesized.

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