2015/05/31 by Annalisa Mana, Lorenzo Fatibene, Marco Ferraris · 19 citations
Physics and Astronomy · #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Function (biology) #Metric (unit) #Polytropic process #Pulsars and Gravitational Waves Research #Singularity #Stars #Stellar, planetary, and galactic studies #gr-qc
paper · pdf · doi:10.1088/1475-7516/2015/10/040
published in Journal of Cosmology and Astroparticle Physics 2015(10), 040 (Institute of Physics) · 18 pages (refs added and typos corrected)
arxiv created 2015/08/23 · openalex publication_date 2015/10/16 · arxiv updated 2015/10/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
After briefly reviewing the results about polytropic stars in Palatini f ( )-theories, we first show how these results rely on the assumption of a regular function f ( ). In particular, singular models allow to extend the parameter interval in which no singularity is formed. Furthermore, we show how the conformal metric can be matched smoothly in the cases where the original metric generates a singularity. In fact, the singularity comes from a singular conformal factor which is continuous though not differentiable at the stellar surface. This suggests that the correct metric to be considered as physical is the conformal metric.This is relevant because, even when matching the original metric is possible, the use of the conformal metric generates different stellar models.