Minimal geometric deformation decoupling in $2+1$ dimensional space–times

Contreras, Ernesto; Bargueño, Pedro

doi:10.1140/epjc/s10052-018-6048-x

Minimal geometric deformation decoupling in $2+1$ dimensional space–times

May 26, 2018

5 pages

Published in:

Eur.Phys.J.C 78 (2018) 7, 558

Published: Jul 7, 2018

e-Print:

1805.10565 [gr-qc]

DOI:

10.1140/epjc/s10052-018-6048-x

View in:

ADS Abstract Service

reference search107 citations

Citations per year

Abstract: (Springer)

We study the minimal geometric deformation decoupling in

2+1

dimensional space–times and implement it as a tool for obtaining anisotropic solutions from isotropic geometries. Interestingly, both the isotropic and the anisotropic sector fulfill Einstein field equations in contrast to the cases studied in

3+1

dimensions. In particular, new anisotropic solutions are obtained from the well known static BTZ solution.

Note:

Figure and some comments added. Accepted in EPJC

deformation: geometrical
anisotropy
deformation
decoupling
Einstein equation
geometry
BTZ

References(30)

Figures(1)

Searching exact solutions for compact stars in braneworld: A Conjecture

J. Ovalle
(
- Caracas, U. Central
)

- Mod.Phys.Lett.A 23 (2008) 3247-3263
•
e-Print:
- gr-qc/0703095
•
DOI:
- 10.1142/S0217732308027011

A Large mass hierarchy from a small extra dimension

Lisa Randall
(
- Princeton U. and
- MIT
)
,
Raman Sundrum
(
- Boston U.
)

- Phys.Rev.Lett. 83 (1999) 3370-3373
•
e-Print:
- hep-ph/9905221
•
DOI:
- 10.1103/PhysRevLett.83.3370

An Alternative to compactification

Lisa Randall
(
- Princeton U. and
- MIT, LNS
)
,
Raman Sundrum
(
- Boston U.
)

- Phys.Rev.Lett. 83 (1999) 4690-4693
•
e-Print:
- hep-th/9906064
•
DOI:
- 10.1103/PhysRevLett.83.4690

Non-uniform Braneworld Stars: An Exact Solution

J Ovalle
(
- Caracas, U. Central
)

- Int.J.Mod.Phys.D 18 (2009) 837-852
•
e-Print:
- 0809.3547
•
DOI:
- 10.1142/S0218271809014790

The Schwarzschild's Braneworld Solution

J. Ovalle
(
- Simon Bolivar U.
)

- Mod.Phys.Lett.A 25 (2010) 3323-3334
•
e-Print:
- 1009.3674
•
DOI:
- 10.1142/S0217732310034420

Brane-world stars and (microscopic) black holes

R. Casadio
(
- Bologna U. and
- INFN, Bologna
)
,
J. Ovalle
(
- Simon Bolivar U.
)

- Phys.Lett.B 715 (2012) 251-255
•
e-Print:
- 1201.6145
•
DOI:
- 10.1016/j.physletb.2012.07.041

Tolman IV solution in the Randall-Sundrum Braneworld

J Ovalle
(
- Simon Bolivar U.
)
,
F Linares
(
- Guanajuato U.
)

- Phys.Rev.D 88 (2013) 10, 104026
•
e-Print:
- 1311.1844
•
DOI:
- 10.1103/PhysRevD.88.104026

The role of exterior Weyl fluids on compact stellar structures in Randall–Sundrum gravity

- Class.Quant.Grav. 30 (2013) 175019
•
e-Print:
- 1304.5995
•
DOI:
- 10.1088/0264-9381/30/17/175019

The role of exterior Weyl fluids on compact stellar structures in Randall–Sundrum gravity

- Class.Quant.Grav. 30 (2013) 175019
•
e-Print:
- 1304.5995
•
DOI:
- 10.1088/0264-9381/30/17/175019

The Minimal Geometric Deformation Approach Extended

Roberto Casadio
(
- Bologna U. and
- INFN, Bologna
)
,
Jorge Ovalle
(
- ICTP, Trieste and
- Bologna U. and
- Simon Bolivar U.
)
,
Roldão da Rocha
(
- ABC Federal U.
)

- Class.Quant.Grav. 32 (2015) 21, 215020
•
e-Print:
- 1503.02873
•
DOI:
- 10.1088/0264-9381/32/21/215020

Extending the geometric deformation: New black hole solutions

J. Ovalle
(
- ICTP, Trieste and
- Simon Bolivar U. and
- Bologna U.
)

- Int.J.Mod.Phys.Conf.Ser. 41 (2016) 1660132
•
e-Print:
- 1510.00855
•
DOI:
- 10.1142/S2010194516601320

Brane-world stars with a solid crust and vacuum exterior

Jorge Ovalle
(
- Simon Bolivar U.
)
,
László Á. Gergely
(
- Szeged U. and
- Tokyo U. of Sci.
)
,
Roberto Casadio
(
- Bologna U. and
- Bologna U., Dept. Astron. and
- INFN, Bologna
)

- Class.Quant.Grav. 32 (2015) 045015
•
e-Print:
- 1405.0252
•
DOI:
- 10.1088/0264-9381/32/4/045015

Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation

Roberto Casadio
(
- Bologna U. and
- Bologna U., Dept. Astron. and
- INFN, Bologna
)
,
Jorge Ovalle
(
- Simon Bolivar U.
)
,
Roldao da Rocha
(
- ABC Federal U. and
- SISSA, Trieste
)

- EPL 110 (2015) 4, 40003
•
e-Print:
- 1503.02316
•
DOI:
- 10.1209/0295-5075/110/40003

Strong deflection limit lensing effects in the minimal geometric deformation and Casadio–Fabbri–Mazzacurati solutions

R.T. Cavalcanti
(
- ABC Federal U.
)
,
A. Goncalves da Silva
(
- ABC Federal U.
)
,
Roldao da Rocha
(
- ABC Federal U.
)

- Class.Quant.Grav. 33 (2016) 21, 215007
•
e-Print:
- 1605.01271
•
DOI:
- 10.1088/0264-9381/33/21/215007

Stability of the graviton Bose–Einstein condensate in the brane-world

Roberto Casadio
(
- Bologna U. and
- Bologna U., Dept. Astron. and
- INFN, Bologna
)
,
Roldao da Rocha
(
- ABC Federal U.
)

- Phys.Lett.B 763 (2016) 434-438
•
e-Print:
- 1610.01572
•
DOI:
- 10.1016/j.physletb.2016.10.072

Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids

Jorge Ovalle
(
- Naresuan U. and
- Simon Bolivar U.
)

- Phys.Rev.D 95 (2017) 10, 104019
•
e-Print:
- 1704.05899
•
DOI:
- 10.1103/PhysRevD.95.104019

Dark SU(N) glueball stars on fluid branes

Roldao da Rocha
(
- ABC Federal U.
)

- Phys.Rev.D 95 (2017) 12, 124017
•
e-Print:
- 1701.00761
•
DOI:
- 10.1103/PhysRevD.95.124017

Black hole acoustics in the minimal geometric deformation of a de Laval nozzle

Roldão da Rocha
(
- ABC Federal U.
)

- Eur.Phys.J.C 77 (2017) 5, 355
•
e-Print:
- 1703.01528
•
DOI:
- 10.1140/epjc/s10052-017-4926-2

Generalised uncertainty principle Hawking fermions from minimally geometric deformed black holes

Roberto Casadio
(
- Bologna U. and
- Bologna U., Dept. Astron. and
- INFN, Bologna
)
,
Piero Nicolini
(
- Frankfurt U. and
- Frankfurt U., FIAS
)
,
Roldao da Rocha
(
- ABC Federal U.
)

- Class.Quant.Grav. 35 (2018) 18, 185001
•
e-Print:
- 1709.09704
•
DOI:
- 10.1088/1361-6382/aad664

Anisotropic solutions by gravitational decoupling

J. Ovalle
(
- Silesian U., Czech Republic and
- Simon Bolivar U.
)
,
R. Casadio
(
- Bologna U. and
- INFN, Bologna
)
,
R. da Rocha
(
- ABC Federal U.
)
,
A. Sotomayor
(
- Antofagasta U.
)

- Eur.Phys.J.C 78 (2018) 2, 122
•
e-Print:
- 1708.00407
•
DOI:
- 10.1140/epjc/s10052-018-5606-6

A new family of analytical anisotropic solutions by gravitational decoupling

- Eur.Phys.J.Plus 133 (2018) 11, 453
•
e-Print:
- 1803.02344
•
DOI:
- 10.1140/epjp/i2018-12249-9

Black holes by gravitational decoupling

- Eur.Phys.J.C 78 (2018) 11, 960
•
e-Print:
- 1804.03468
•
DOI:
- 10.1140/epjc/s10052-018-6450-4

Minimal geometric deformation decoupling in $2+1$ dimensional space–times

Citations per year

Searching exact solutions for compact stars in braneworld: A Conjecture

A Large mass hierarchy from a small extra dimension

An Alternative to compactification

Non-uniform Braneworld Stars: An Exact Solution

The Schwarzschild's Braneworld Solution

Brane-world stars and (microscopic) black holes

Tolman IV solution in the Randall-Sundrum Braneworld

The role of exterior Weyl fluids on compact stellar structures in Randall–Sundrum gravity

The role of exterior Weyl fluids on compact stellar structures in Randall–Sundrum gravity

The Minimal Geometric Deformation Approach Extended

Extending the geometric deformation: New black hole solutions

Brane-world stars with a solid crust and vacuum exterior

Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation

Strong deflection limit lensing effects in the minimal geometric deformation and Casadio–Fabbri–Mazzacurati solutions

Stability of the graviton Bose–Einstein condensate in the brane-world

Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids

Dark SU(N) glueball stars on fluid branes

Black hole acoustics in the minimal geometric deformation of a de Laval nozzle

Generalised uncertainty principle Hawking fermions from minimally geometric deformed black holes

Anisotropic solutions by gravitational decoupling

A new family of analytical anisotropic solutions by gravitational decoupling

Black holes by gravitational decoupling

Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain

Gravitational decoupled anisotropies in compact stars

Gravitational Decoupled Charged Anisotropic Spherical Solutions

Minimal geometric deformation decoupling in 2+12+12+1 dimensional space–times

Citations per year

Minimal geometric deformation decoupling in $2+1$ dimensional space–times