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Title: A further study on Palatini f(R)-theories for polytropic stars

Abstract

After briefly reviewing the results about polytropic stars in Palatini f(R)-theories, we first show how these results rely on the assumption of a regular function f(R). 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.

Authors:
 [1]; ;  [2]
  1. Universitäts-Sternwarte, Ludwig-Maximilians Universität, Scheinerstr. 1, 81679 Munich (Germany)
  2. Department of Mathematics, University of Torino, via Carlo Alberto 10, 10123 Torino (Italy)
Publication Date:
OSTI Identifier:
22525238
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CONFORMAL INVARIANCE; METRICS; REVIEWS; SINGULARITY; STAR MODELS; STARS; SURFACES

Citation Formats

Mana, Annalisa, Fatibene, Lorenzo, and Ferraris, Marco, E-mail: amana@usm.lmu.de, E-mail: lorenzo.fatibene@unito.it, E-mail: marco.ferraris@unito.it. A further study on Palatini f(R)-theories for polytropic stars. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/10/040.
Mana, Annalisa, Fatibene, Lorenzo, & Ferraris, Marco, E-mail: amana@usm.lmu.de, E-mail: lorenzo.fatibene@unito.it, E-mail: marco.ferraris@unito.it. A further study on Palatini f(R)-theories for polytropic stars. United States. doi:10.1088/1475-7516/2015/10/040.
Mana, Annalisa, Fatibene, Lorenzo, and Ferraris, Marco, E-mail: amana@usm.lmu.de, E-mail: lorenzo.fatibene@unito.it, E-mail: marco.ferraris@unito.it. Thu . "A further study on Palatini f(R)-theories for polytropic stars". United States. doi:10.1088/1475-7516/2015/10/040.
@article{osti_22525238,
title = {A further study on Palatini f(R)-theories for polytropic stars},
author = {Mana, Annalisa and Fatibene, Lorenzo and Ferraris, Marco, E-mail: amana@usm.lmu.de, E-mail: lorenzo.fatibene@unito.it, E-mail: marco.ferraris@unito.it},
abstractNote = {After briefly reviewing the results about polytropic stars in Palatini f(R)-theories, we first show how these results rely on the assumption of a regular function f(R). 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.},
doi = {10.1088/1475-7516/2015/10/040},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 10,
volume = 2015,
place = {United States},
year = {2015},
month = {10}
}