Renormalization group scale-setting in astrophysical systems

Understand

A more general scale-setting procedure for General Relativity with Renormalization Group corrections is proposed.

• Theoretical aspects of the scale-setting procedure and the interpretation of the renormalization group running scale are discussed.
• The procedure is elaborated for several highly symmetric systems with matter in the form of an ideal fluid and for two models of running of the Newton coupling and the cosmological term.
• For a static spherically symmetric system with the matter obeying the polytropic equation of state the running scale-setting is performed analytically.