Self-Gravitating Systems in Extended Gravity

Galaxies

Arturo Stabile¹  Salvatore Capozziello² 

[1] Dipartimento di Ingegneria, Università del Sannio, Palazzo Dell’Aquila Bosco Lucarelli, Corso Garibaldi, 107-82100 Benevento, Italy;Dipartimento di Fisica, Università di Napoli “Federico II”, Complesso Universitario di Monte Sant’Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy

关键词: Alternative Theories of Gravity;    weak field limit;    spherical symmetry;    self-gravitating systems;    conformal transformations;   

DOI  :  10.3390/galaxies2040520

来源: mdpi

【 摘 要 】

Starting from the weak field limit, we discuss astrophysical applications of Extended Theories of Gravity where higher order curvature invariants and scalar fields are considered by generalizing the Hilbert-Einstein action linear in the Ricci curvature scalar R. Results are compared to General Relativity in the hypothesis that Dark Matter contributions to the dynamics can be neglected thanks to modified gravity. In particular, we consider stellar hydrostatic equilibrium, galactic rotation curves, and gravitational lensing. Finally, we discuss the weak field limit in the Jordan and Einstein frames pointing out how effective quantities, as gravitational potentials, transform from one frame to the other and the interpretation of results can completely change accordingly.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland.