Investigating the little rip and other future singularities of the universe, and validity of the second law of thermodynamics in F(R) theory

The future singularities are possible in a universe that is described by F(R) theory. In previous studies the occurrence of the singularities in F(R) theory have been considered by using a special function for the Hubble parameter and calculating the F(R) function for each of the singularities. Usin...

Full description

Bibliographic Details
Main Authors: M Aghaei Abchouyeh, B Mirza, H Nadi
Format: Article
Language:English
Published: Isfahan University of Technology 2015-01-01
Series:Iranian Journal of Physics Research
Subjects:
Online Access:http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-680&slc_lang=en&sid=1
_version_ 1818847692545064960
author M Aghaei Abchouyeh
B Mirza
H Nadi
author_facet M Aghaei Abchouyeh
B Mirza
H Nadi
author_sort M Aghaei Abchouyeh
collection DOAJ
description The future singularities are possible in a universe that is described by F(R) theory. In previous studies the occurrence of the singularities in F(R) theory have been considered by using a special function for the Hubble parameter and calculating the F(R) function for each of the singularities. Using the specified Hubble parameter causes some difficulties in the study of the second law of thermodynamics. In this paper by using the scale factor, the behavior of F(R) function near each type of the singularities is considered. We can check the validity of the second law of thermodynamics near the singularities. At first we study the Little Rip and then the other types of singularities are considered. The results show that the second law of thermodynamics is satisfied near the singularity type (I) with some special conditions and is violated with some other conditions. it is satisfied near the Little Rip, type (II), (III) and (IV) singularities
first_indexed 2024-12-19T06:05:29Z
format Article
id doaj.art-b8c5c1522a4e492b81c827b3b5772109
institution Directory Open Access Journal
issn 1682-6957
language English
last_indexed 2024-12-19T06:05:29Z
publishDate 2015-01-01
publisher Isfahan University of Technology
record_format Article
series Iranian Journal of Physics Research
spelling doaj.art-b8c5c1522a4e492b81c827b3b57721092022-12-21T20:33:10ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572015-01-01144293303Investigating the little rip and other future singularities of the universe, and validity of the second law of thermodynamics in F(R) theoryM Aghaei Abchouyeh0B Mirza1H Nadi2 Department of Physics, Isfahan University of Technology, Isfahan, Iran Department of Physics, Isfahan University of Technology, Isfahan, Iran Department of Physics, Isfahan University of Technology, Isfahan, Iran The future singularities are possible in a universe that is described by F(R) theory. In previous studies the occurrence of the singularities in F(R) theory have been considered by using a special function for the Hubble parameter and calculating the F(R) function for each of the singularities. Using the specified Hubble parameter causes some difficulties in the study of the second law of thermodynamics. In this paper by using the scale factor, the behavior of F(R) function near each type of the singularities is considered. We can check the validity of the second law of thermodynamics near the singularities. At first we study the Little Rip and then the other types of singularities are considered. The results show that the second law of thermodynamics is satisfied near the singularity type (I) with some special conditions and is violated with some other conditions. it is satisfied near the Little Rip, type (II), (III) and (IV) singularitieshttp://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-680&slc_lang=en&sid=1neutron F(R) gravitational theory future singularities of the universe
spellingShingle M Aghaei Abchouyeh
B Mirza
H Nadi
Investigating the little rip and other future singularities of the universe, and validity of the second law of thermodynamics in F(R) theory
Iranian Journal of Physics Research
neutron
F(R) gravitational theory
future singularities of the universe
title Investigating the little rip and other future singularities of the universe, and validity of the second law of thermodynamics in F(R) theory
title_full Investigating the little rip and other future singularities of the universe, and validity of the second law of thermodynamics in F(R) theory
title_fullStr Investigating the little rip and other future singularities of the universe, and validity of the second law of thermodynamics in F(R) theory
title_full_unstemmed Investigating the little rip and other future singularities of the universe, and validity of the second law of thermodynamics in F(R) theory
title_short Investigating the little rip and other future singularities of the universe, and validity of the second law of thermodynamics in F(R) theory
title_sort investigating the little rip and other future singularities of the universe and validity of the second law of thermodynamics in f r theory
topic neutron
F(R) gravitational theory
future singularities of the universe
url http://ijpr.iut.ac.ir/browse.php?a_code=A-10-1-680&slc_lang=en&sid=1
work_keys_str_mv AT maghaeiabchouyeh investigatingthelittleripandotherfuturesingularitiesoftheuniverseandvalidityofthesecondlawofthermodynamicsinfrtheory
AT bmirza investigatingthelittleripandotherfuturesingularitiesoftheuniverseandvalidityofthesecondlawofthermodynamicsinfrtheory
AT hnadi investigatingthelittleripandotherfuturesingularitiesoftheuniverseandvalidityofthesecondlawofthermodynamicsinfrtheory