Black hole surrounded by a magnetic vortex in $f(R)$ gravity

Lima, F.C.E.; Almeida, C.A.S.

Black hole surrounded by a magnetic vortex in $f(R)$ gravity

Jan 5, 2025

25 pages

e-Print:

2501.02712 [gr-qc]

View in:

ADS Abstract Service

pdf

reference search0 citations

Citations per year

0 Citations

Abstract: (arXiv)

Modified Gravity Theories (MGTs) are extensions of General Relativity (GR) in its standard formulation. In light of this premise, we employ Heisenberg's non-perturbative approach to promote the three-dimensional Einstein-Hilbert theory to a modified

f(R)

gravity. Within this context, we investigate a cosmological system composed of a black hole (BH) surrounded by Maxwell-Higgs vortices, forming the BH-vortex system. In the case of linear

f(R)

gravity derived from quantum metric fluctuations, one shows the existence of a three-dimensional ring-like BH-vortex system with quantized magnetic flux. Within this system, one notes the BH at

r=0

and its event horizon at

r= r_0

, while the magnetic vortices are at

r\in (r_0, \infty)

. A remarkable result is the constancy of the Bekenstein-Hawking temperature (

T_H

), regardless of MGTs and vortex parameters. This invariance of

T_H

suggests that the BH-vortex system reaches thermodynamic stability. Unlike the standard theory of Maxwell-Higgs vortices in flat spacetime, in

f(R)

gravity, the vortices suffer the influence of the BH's event horizon. This interaction induces perturbations in the magnetic vortex profile, forming cosmological ring-like magnetic structures.

Note:

25 pages, 5 captioned figures

References(95)

Figures(2)

[1]

Cosmological results from high-z supernovae

et al.

- Astrophys.J. 594 (2003) 1-24
•
e-Print:
- astro-ph/0305008
•
DOI:
- 10.1086/376865

[2]

New constraints on Omega(M), Omega(lambda), and w from an independent set of eleven high-redshift supernovae observed with HST

Supernova Cosmology Project

Collaboration

•

Robert A. Knop

et al.

- Astrophys.J. 598 (2003) 102
•
e-Print:
- astro-ph/0309368
•
DOI:
- 10.1086/378560

[3]

Post-Newtonian constraints on f(R) cosmologies in metric and Palatini formalism

Gonzalo J. Olmo
(
- Valencia U. and
- Valencia U., IFIC and
- Wisconsin U., Milwaukee
)

- Phys.Rev.D 72 (2005) 083505
•
e-Print:
- gr-qc/0505135
•
DOI:
- 10.1103/PhysRevD.72.083505

[4]

Curvature quintessence

Salvatore Capozziello
(
- INFN, Naples and
- Salerno U.
)

- Int.J.Mod.Phys.D 11 (2002) 483-492
•
e-Print:
- gr-qc/0201033
•
DOI:
- 10.1142/S0218271802002025

[5]

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

[6]

1/R Curvature corrections as the source of the cosmological acceleration

Dan N. Vollick
(
- Okanagan Coll.
)

- Phys.Rev.D 68 (2003) 063510
•
e-Print:
- astro-ph/0306630
•
DOI:
- 10.1103/PhysRevD.68.063510

[7]

The Cosmology of generalized modified gravity models

Sean M. Carroll
(
- Chicago U., EFI and
- Chicago U., KICP
)
,
Antonio De Felice
(
- Syracuse U.
)
,
Vikram Duvvuri
(
- Chicago U., EFI and
- Chicago U., KICP
)
,
Damien A. Easson
(
- Syracuse U.
)
,
Mark Trodden
(
- Syracuse U.
)

et al.

- Phys.Rev.D 71 (2005) 063513
•
e-Print:
- astro-ph/0410031
•
DOI:
- 10.1103/PhysRevD.71.063513

[8]

Connecting early and late universe by $f(R)$ gravity

Salvatore Capozziello
(
- Naples U. and
- INFN, Naples and
- GSSI, Aquila
)
,
Mariafelicia De Laurentis
(
- Tomsk Pedagogical Inst.
)
,
Orlando Luongo
(
- Naples U. and
- INFN, Naples and
- Mexico U., ICN
)

- Int.J.Mod.Phys.D 24 (2014) 04, 1541002
•
e-Print:
- 1411.2822
•
DOI:
- 10.1142/S0218271815410023

[9]

On the Emergence of Accelerating Cosmic Expansion in f(R) Theories of Gravity

- Phys.Rev.D 91 (2015) 10, 103528
•
e-Print:
- 1501.04004
•
DOI:
- 10.1103/PhysRevD.91.103528

[10]

$f(R)$ gravity: scalar perturbations in the late Universe

Maxim Eingorn
(
- North Carolina Central U. and
- Cologne U.
)
,
Jan Novák
(
- Charles U. and
- Prague, Math. Inst.
)
,
Alexander Zhuk
(
- Odessa State U. Observ.
)

- Eur.Phys.J.C 74 (2014) 8, 3005
•
e-Print:
- 1401.5410
•
DOI:
- 10.1140/epjc/s10052-014-3005-1

[11]

f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration

Reza Saffari
(
- IASBS, Zanjan
)
,
Sohrab Rahvar
(
- Sharif U. of Tech. and
- IPM, Tehran
)

- Phys.Rev.D 77 (2008) 104028
•
e-Print:
- 0708.1482
•
DOI:
- 10.1103/PhysRevD.77.104028

[12]

Cosmography of f(R) gravity

S. Capozziello
(
- Naples U. and
- INFN, Naples
)
,
V.F. Cardone
(
- Naples U. and
- INFN, Naples
)
,
V. Salzano
(
- Naples U. and
- INFN, Naples
)

- Phys.Rev.D 78 (2008) 063504
•
e-Print:
- 0802.1583
•
DOI:
- 10.1103/PhysRevD.78.063504

[13]

Constraining f(R) gravity in the Palatini formalism

Thomas P. Sotiriou
(
- SISSA, Trieste and
- INFN, Trieste
)

- Class.Quant.Grav. 23 (2006) 1253-1267
•
e-Print:
- gr-qc/0512017
•
DOI:
- 10.1088/0264-9381/23/4/012

[14]

Thick brane in mimetic-like gravity

C.A.S. Almeida
(
- Ceara U.
)
,
F.C.E. Lima
(
- Ceara U.
)
,
S.S. Mishra
(
- Birla Inst. Tech. Sci.
)
,
Gonzalo J. Olmo
(
- Valencia U. and
- Ceara U.
)
,
P.K. Sahoo
(
- Birla Inst. Tech. Sci.
)

- Nucl.Phys.B 1009 (2024) 116747
•
DOI:
- 10.1016/j.nuclphysb.2024.116747

[15]

f(R) theories

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

[16]

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

[17]

The Newtonian Limit of f(R) gravity

S. Capozziello
(
- Naples U. and
- INFN, Naples
)
,
A. Stabile
(
- Salerno U. and
- INFN, Salerno
)
,
A. Troisi
(
- Naples U. and
- INFN, Naples
)

- Phys.Rev.D 76 (2007) 104019
•
e-Print:
- 0708.0723
•
DOI:
- 10.1103/PhysRevD.76.104019

[18]

$f(R,T)$ 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

[19]

Cosmology in scalar-tensor f(R, T) gravity

Tiago B. Gonçalves
(
- U. Lisbon (main) and
- Lisbon U.
)
,
João Luís Rosa
(
- Tartu U.
)
,
Francisco S.N. Lobo
(
- U. Lisbon (main)
)

- Phys.Rev.D 105 (2022) 6, 064019
•
e-Print:
- 2112.02541
•
DOI:
- 10.1103/PhysRevD.105.064019

[20]

Junction conditions and thin shells in perfect-fluid $f(R,T)$ gravity

João Luís Rosa
(
- Tartu, Inst. Phys.
)

- Phys.Rev.D 103 (2021) 10, 104069
•
e-Print:
- 2103.11698
•
DOI:
- 10.1103/PhysRevD.103.104069

[21]

Impact of compactlike and asymmetric configurations of thick branes on the scalar–tensor representation of $f\left( R,T\right)$ gravity

João Luís Rosa
(
- Tartu U.
)
,
A.S. Lobão
(
- Campina Grande Federal U.
)
,
D. Bazeia
(
- Paraiba U.
)

- Eur.Phys.J.C 82 (2022) 3, 191,
- The European Physical Journal C volume 82, Article number: 191 (2022)
•
e-Print:
- 2202.10713
•
DOI:
- 10.1140/epjc/s10052-022-10159-6

[22]

Extensions of f(R) Gravity: Curvature-Matter Couplings and Hybrid Metric-Palatini Theory, (Cambridge Monographs on Mathematical Physics, University Printing House, Cambridge, United Kingdom,)

T. Harko
,
F.S.N. Lobo

[23]

Review on $f (Q)$ gravity

Lavinia Heisenberg
(
- Heidelberg U.
)

- Phys.Rept. 1066 (2024) 1-78
•
e-Print:
- 2309.15958
•
DOI:
- 10.1016/j.physrep.2024.02.001

[24]

f(T) teleparallel gravity and cosmology

Yi-Fu Cai
(
- CUST, SKLPDE and
- Hefei, CUST and
- McGill U.
)
,
Salvatore Capozziello
(
- Frankfurt U. and
- Tomsk Pedagogical Inst. and
- Tomsk State U. and
- INFN, Naples
)
,
Mariafelicia De Laurentis
(
- Frankfurt U. and
- INFN, Naples and
- Naples U.
)
,
Emmanuel N. Saridakis
(
- Valparaiso U., Catolica and
- Baylor U. and
- Natl. Tech. U., Athens
)

- Rept.Prog.Phys. 79 (2016) 10, 106901
•
e-Print:
- 1511.07586
•
DOI:
- 10.1088/0034-4885/79/10/106901

[25]

Modified gravity inside astrophysical bodies

R. Saito
,
D. Yamauchi
,
S. Mizuno
,
J. Gleyzes
,
D. Langlois

- JCAP 06 (2015) 2015

1-25 of 95
1
2
3
4
25 / page

Black hole surrounded by a magnetic vortex in f(R)f(R)f(R) gravity

Citations per year

Black hole surrounded by a magnetic vortex in $f(R)$ gravity