Impact of non-zero strange quark mass $(m_{s}\neq0)$ in $f(R,T)$ gravity admitting observational results of strange stars - INSPIRE

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Impact of non-zero strange quark mass $(m_{s}\neq0)$ in $f(R,T)$ gravity admitting observational results of strange stars

Mar 19, 2024

31 pages

e-Print:

2403.12555 [gr-qc]

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Abstract: (arXiv)

In this article we propose a new class of isotropic strange star using Buchdahl-I metric ansatz in the context of MIT bag model equation of state considering of non-zero strange quark mass

(m_{s})

in the framework of modified

f(R,T)

theory of gravity. The barotropic form of MIT bag model equation of state and a specific class of

f(R,T)

model, {\it viz.},

f(R,T)=R+2\alpha_{c}T

where

\alpha_{c}

is termed as the gravity-matter coupling constant, produces a tractable set of solutions of Einstein field equations. From the allowed numerical values of the coupling constant

(\alpha_{c})

, we have considered a range of

\alpha_{c}

from -2.0 to 2.0. Maximum mass and radius in this model is found by numerically solving the TOV equations and we note that within the stability window imposed by energy per baryon, for an arbitrary choice of bag constant

B=70~MeV/fm^{3}

,

m_{s}

and

\alpha_{c}

act as a constraining factor. Interestingly, the increment of

m_{s}

and

\alpha_{c}

results in a softer equation of state which leads to the decrease in the maximum mass and radius while negative values of

\alpha_{c}

leads to a stiffer equation of state thereby increasing the maximum mass and radius in the present model. For physical application, we consider EXO 1745-248 and study the effects of

m_{s}

and

\alpha_{c}

on its radius. Using the formalism, we have analysed the characteristic properties of EXO 1745-248. Apart from that, we have predicted the radii of a wide range of strange star candidates in the context of

f(R,T)

gravity and the obtained results agree well with the observed results. We note that the proposed model satisfies all the necessary energy conditions and stability criteria to emerge as a viable stellar configuration.

Note:

31 pages, 19 figures

star: strangeness
quark: mass
Einstein equation: solution
equation of state
gravitation: f(R,T)
coupling constant
bag model
stability
Tolman-Oppenheimer-Volkoff equation
baryon

References(127)

Figures(19)

[1]

Eine neue Erweiterung der Relativitätstheorie. Ann. der Phys. 364 101

H. Weyl

[2]

Observational evidence from supernovae for an accelerating universe and a cosmological constant

et al.

- Astron.J. 116 (1998) 1009-1038
•
e-Print:
- astro-ph/9805201
•
DOI:
- 10.1086/300499

[3]

Measurements of $\Omega$ and $\Lambda$ from 42 High Redshift Supernovae

Supernova Cosmology Project

Collaboration

•

S. Perlmutter
(
- UC, Berkeley, CfPA
)

et al.

- Astrophys.J. 517 (1999) 565-586
•
e-Print:
- astro-ph/9812133
•
DOI:
- 10.1086/307221

[4]

A Flat universe from high resolution maps of the cosmic microwave background radiation

Boomerang

Collaboration

•

P. de Bernardis
(
- Rome U.
)

et al.

- Nature 404 (2000) 955-959
•
e-Print:
- astro-ph/0004404
•
DOI:
- 10.1038/35010035

[5]

MAXIMA-1: A Measurement of the cosmic microwave background anisotropy on angular scales of 10 arcminutes to 5 degrees

S. Hanany
(
- Minnesota U. and
- UC, Berkeley, CfPA
)
,
P. Ade
,
A. Balbi
,
J. Bock
,
J. Borrill

et al.

- Astrophys.J.Lett. 545 (2000) L5
•
e-Print:
- astro-ph/0005123
•
DOI:
- 10.1086/317322

[6]

The Cosmological Constant and Dark Energy

P.J.E. Peebles
(
- Princeton U.
)
,
Bharat Ratra
(
- Kansas State U.
)

- Rev.Mod.Phys. 75 (2003) 559-606,
•
e-Print:
- astro-ph/0207347
•
DOI:
- 10.1103/RevModPhys.75.559

[7]

Cosmological constant: The Weight of the vacuum

T. Padmanabhan
(
- IUCAA, Pune
)

- Phys.Rept. 380 (2003) 235-320
•
e-Print:
- hep-th/0212290
•
DOI:
- 10.1016/S0370-1573(03)00120-0

[8]

Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models

Shin'ichi Nojiri
(
- KMI, Nagoya and
- Nagoya U.
)
,
Sergei D. Odintsov
(
- ICE, Bellaterra and
- ICREA, Barcelona
)

- Phys.Rept. 505 (2011) 59-144
•
e-Print:
- 1011.0544
•
DOI:
- 10.1016/j.physrep.2011.04.001

[9]

f(R) Theories Of Gravity

- Rev.Mod.Phys. 82 (2010) 451-497
•
e-Print:
- 0805.1726
•
DOI:
- 10.1103/RevModPhys.82.451

[10]

f(R) theories

- Living Rev.Rel. 13 (2010) 3
•
e-Print:
- 1002.4928
•
DOI:
- 10.12942/lrr-2010-3

[11]

Introduction to modified gravity and gravitational alternative for dark energy

- eConf C0602061 (2006) 06,
- Int.J.Geom.Meth.Mod.Phys. 4 (2007) 115-146
•
e-Print:
- hep-th/0601213
•
DOI:
- 10.1142/S0219887807001928

[12]

Is Cosmic Speed-Up Due to New Gravitational Physics?

Sean M. Carroll
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP
)
,
Vikram Duvvuri
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP
)
,
Mark Trodden
(
- Syracuse U.
)
,
Michael S. Turner
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP and
- Chicago U., Astron. Astrophys. Ctr. and
- Fermilab
)

- Phys.Rev.D 70 (2004) 043528
•
e-Print:
- astro-ph/0306438
•
DOI:
- 10.1103/PhysRevD.70.043528

[13]

Dark energy and dark matter as curvature effects

Salvatore Capozziello
(
- Naples U. and
- INFN, Naples
)
,
V.F. Cardone
(
- Salerno U. and
- INFN, Salerno
)
,
A. Troisi
(
- Naples U. and
- INFN, Naples
)

- JCAP 08 (2006) 001
•
e-Print:
- astro-ph/0602349
•
DOI:
- 10.1088/1475-7516/2006/08/001

[14]

Dark matter and dark energy as a effects of Modified Gravity

- eConf C0602061 (2006) 09,
- Int.J.Geom.Meth.Mod.Phys. 4 (2007) 183-196
•
e-Print:
- astro-ph/0607639
•
DOI:
- 10.1142/S0219887807001898

[15]

Analysis of Rotation Curves in the framework of R**n gravity

- Mon.Not.Roy.Astron.Soc. 381 (2007) 1103-1108
•
e-Print:
- astro-ph/0703243
•
DOI:
- 10.1111/j.1365-2966.2007.12273.x

[16]

Dark matter as a geometric effect in f(R) gravity

Christian G. Boehmer
(
- University Coll. London and
- Portsmouth U., ICG
)
,
Tiberiu Harko
(
- Hong Kong U.
)
,
Francisco S.N. Lobo
(
- Portsmouth U., ICG and
- Lisbon U., CAAUL
)

- Astropart.Phys. 29 (2008) 386-392
•
e-Print:
- 0709.0046
•
DOI:
- 10.1016/j.astropartphys.2008.04.003

[17]

Generalized virial theorem in f(R) gravity

Christian G. Boehmer
(
- University Coll. London
)
,
Tiberiu Harko
(
- Hong Kong U.
)
,
Francisco S.N. Lobo
(
- Portsmouth U., ICG and
- Lisbon U., CAAUL
)

- JCAP 03 (2008) 024
•
e-Print:
- 0710.0966
•
DOI:
- 10.1088/1475-7516/2008/03/024

[18]

A Class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion

G. Cognola
(
- Trento U. and
- INFN, Trento
)
,
E. Elizalde
(
- ICE, Barcelona and
- Barcelona, IEEC
)
,
S. Nojiri
(
- Nagoya U.
)
,
S.D. Odintsov
(
- ICREA, Barcelona and
- Barcelona, IEEC
)
,
L. Sebastiani
(
- Trento U. and
- INFN, Trento
)

et al.

- Phys.Rev.D 77 (2008) 046009
•
e-Print:
- 0712.4017
•
DOI:
- 10.1103/PhysRevD.77.046009

[19]

f(R) actions, cosmic acceleration and local tests of gravity

- JCAP 02 (2007) 022
•
e-Print:
- gr-qc/0611127
•
DOI:
- 10.1088/1475-7516/2007/02/022

[20]

Cosmological Constraints on f(R) Acceleration Models

Yong-Seon Song
(
- Chicago U., KICP and
- Chicago U., EFI
)
,
Hiranya Peiris
(
- Chicago U., KICP and
- Chicago U., EFI
)
,
Wayne Hu
(
- Chicago U., KICP and
- Chicago U., EFI
)

- Phys.Rev.D 76 (2007) 063517
•
e-Print:
- 0706.2399
•
DOI:
- 10.1103/PhysRevD.76.063517

[21]

$f(R,T)$ gravity

Tiberiu Harko
(
- Hong Kong U.
)
,
Francisco S.N. Lobo
(
- Lisbon U.
)
,
Shin'ichi Nojiri
(
- Nagoya U. and
- KMI, Nagoya
)
,
Sergei D. Odintsov
(
- ICREA, Barcelona and
- ICE, Bellaterra
)

- Phys.Rev.D 84 (2011) 024020
•
e-Print:
- 1104.2669
•
DOI:
- 10.1103/PhysRevD.84.024020

[22]

The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry

T. Harko
(
- Hong Kong U.
)

- Phys.Rev.D 81 (2010) 044021
•
e-Print:
- 1001.5349
•
DOI:
- 10.1103/PhysRevD.81.044021

[23]

An alternative f(R, T) gravity theory and the dark energy problem

Subenoy Chakraborty
(
- Jadavpur U.
)

- Gen.Rel.Grav. 45 (2013) 2039-2052
•
e-Print:
- 1212.3050
•
DOI:
- 10.1007/s10714-013-1577-y

[24]

Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity

- JCAP 06 (2016) 005
•
e-Print:
- 1511.06282
•
DOI:
- 10.1088/1475-7516/2016/06/005

[25]

Static solutions of Einstein's field equations for spheres of fluid

Richard C. Tolman
(
- Caltech
)

- Phys.Rev. 55 (1939) 364-373
•
DOI:
- 10.1103/PhysRev.55.364

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