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:
-
- Universitäts-Sternwarte, Ludwig-Maximilians Universität, Scheinerstr. 1, 81679 Munich (Germany)
- 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}
}
Find in Google Scholar
Search WorldCat to find libraries that may hold this journal