Generalized Lense-Thirring metrics: higher-curvature corrections and solutions with matter - INSPIRE

DataBETA

Generalized Lense-Thirring metrics: higher-curvature corrections and solutions with matter

Finnian Gray
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robie A. Hennigar
(
- Waterloo U.
)
,
David Kubiznak
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robert B. Mann
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Manu Srivastava
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

Dec 14, 2021

24 pages

Published in:

JHEP 04 (2022) 070

Published: Apr 12, 2022

e-Print:

2112.07649 [hep-th]

DOI:

10.1007/JHEP04(2022)070

View in:

reference search10 citations

Citations per year

Abstract: (Springer)

The Lense-Thirring spacetime describes a 4-dimensional slowly rotating approximate solution of vacuum Einstein equations valid to a linear order in rotation parameter. It is fully characterized by a single metric function of the corresponding static (Schwarzschild) solution. In this paper, we introduce a generalization of the Lense-Thirring spacetimes to the higher-dimensional multiply-spinning case, with an ansatz that is not necessarily fully characterized by a single (static) metric function. This generalization lets us study slowly rotating spacetimes in various higher curvature gravities as well as in the presence of non-trivial matter. Moreover, the ansatz can be recast in Painlevé-Gullstrand form (and thence is manifestly regular on the horizon) and admits a tower of exact rank-2 and higher rank Killing tensors that rapidly grows with the number of dimensions. In particular, we construct slowly multiply-spinning solutions in Lovelock gravity and notably show that in four dimensions Einstein gravity is the only non-trivial theory amongst all up to quartic curvature gravities that admits a Lense-Thirring solution characterized by a single metric function.

Note:

v2: Generalized metric ansatz, added refs, improved notation. 17 pages and 2 appendices

Black Holes
Classical Theories of Gravity
Black Holes in String Theory
Supergravity Models
space-time: rotation
dimension: 4
gravitation: Lovelock
vacuum: solution
curvature: high
tensor: Killing

References(71)

Figures(0)

[1]

Observing black holes spin

Christopher S. Reynolds
(
- Cambridge U., Inst. of Astron.
)

- Nature Astron. 3 (2019) 1, 41-47
•
e-Print:
- 1903.11704
•
DOI:
- 10.1038/s41550-018-0665-z

[2]

Observational Evidence of AGN Feedback

A.C. Fabian
(
- Cambridge U.
)

- Ann.Rev.Astron.Astrophys. 50 (2012) 455-489
•
e-Print:
- 1204.4114
•
DOI:
- 10.1146/annurev-astro-081811-125521

[3]

Electromagnetic extractions of energy from Kerr black holes

- Mon.Not.Roy.Astron.Soc. 179 (1977) 433-456
•
DOI:
- 10.1093/mnras/179.3.433

[4]

The Distribution and cosmic evolution of massive black hole spins

- Astrophys.J. 620 (2005) 69-77
•
e-Print:
- astro-ph/0410342
•
DOI:
- 10.1086/426858

[5]

On the influence of the proper rotation of a central body on the motion of the planets and the moon, according to Einstein’s theory of gravitation

J. Lense
,
H. Thirring

- Z.Phys. 19 (1918) 156

[6]

Gravity Probe B: Final Results of a Space Experiment to Test General Relativity

et al.

- Phys.Rev.Lett. 106 (2011) 221101
•
e-Print:
- 1105.3456
•
DOI:
- 10.1103/PhysRevLett.106.221101

[7]

The Gravity Probe B test of general relativity

et al.

- Class.Quant.Grav. 32 (2015) 22, 224001
•
DOI:
- 10.1088/0264-9381/32/22/224001

Superradiance : New Frontiers in Black Hole Physics

Richard Brito
(
- Lisbon, CENTRA and
- Lisbon, IST
)
,
Vitor Cardoso
(
- Lisbon, CENTRA and
- Lisbon, IST and
- Perimeter Inst. Theor. Phys. and
- Mississippi U.
)
,
Paolo Pani
(
- Rome U. and
- INFN, Rome and
- Lisbon, CENTRA and
- Lisbon, IST
)

- Lect.Notes Phys. 906 (2015) pp.1-237,
- Lect.Notes Phys. 971 (2020) pp.1-293
•
e-Print:
- 1501.06570
•
DOI:
- 10.1007/978-3-319-19000-6

[9]

Black hole chemistry: thermodynamics with Lambda

David Kubiznak
(
- Waterloo U. and
- Perimeter Inst. Theor. Phys.
)
,
Robert B. Mann
(
- Waterloo U. and
- Perimeter Inst. Theor. Phys.
)
,
Mae Teo
(
- Stanford U., ITP
)

- Class.Quant.Grav. 34 (2017) 6, 063001
•
e-Print:
- 1608.06147
•
DOI:
- 10.1088/1361-6382/aa5c69

[10]

P-V criticality of charged AdS black holes

David Kubiznak
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robert B. Mann
(
- Waterloo U.
)

- JHEP 07 (2012) 033
•
e-Print:
- 1205.0559
•
DOI:
- 10.1007/JHEP07(2012)033

[11]

Reentrant phase transitions in rotating anti–de Sitter black holes

Natacha Altamirano
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
David Kubiznak
(
- Perimeter Inst. Theor. Phys.
)
,
Robert B. Mann
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- Phys.Rev.D 88 (2013) 10, 101502
•
e-Print:
- 1306.5756
•
DOI:
- 10.1103/PhysRevD.88.101502

[12]

Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume

Natacha Altamirano
(
- Perimeter Inst. Theor. Phys. and
- Cordoba U.
)
,
David Kubiznak
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Robert B. Mann
(
- Waterloo U.
)
,
Zeinab Sherkatghanad
(
- Perimeter Inst. Theor. Phys. and
- Isfahan Tech. U. and
- Waterloo U.
)

- Galaxies 2 (2014) 89-159
•
e-Print:
- 1401.2586
•
DOI:
- 10.3390/galaxies2010089

[13]

Gravitational field of a spinning mass as an example of algebraically special metrics

Roy P. Kerr
(
- Texas U.
)

- Phys.Rev.Lett. 11 (1963) 237-238
•
DOI:
- 10.1103/PhysRevLett.11.237

[14]

Note on the Kerr spinning particle metric

- J.Math.Phys. 6 (1965) 915-917
•
DOI:
- 10.1063/1.1704350

[15]

Black Holes in Higher Dimensional Space-Times

Robert C. Myers
(
- Princeton U.
)
,
M.J. Perry
(
- Princeton U.
)

- Annals Phys. 172 (1986) 304
•
DOI:
- 10.1016/0003-4916(86)90186-7

[16]

Rotating black holes in higher dimensions with a cosmological constant

G.W. Gibbons
(
- Cambridge U., DAMTP
)
,
H. Lu
(
- Texas A-M
)
,
Don N. Page
(
- Texas A-M and
- Alberta U.
)
,
C.N. Pope
(
- Texas A-M
)

- Phys.Rev.Lett. 93 (2004) 171102
•
e-Print:
- hep-th/0409155
•
DOI:
- 10.1103/PhysRevLett.93.171102

[17]

Rotating charged black hole solution in heterotic string theory

Ashoke Sen
(
- Tata Inst.
)

- Phys.Rev.Lett. 69 (1992) 1006-1009
•
e-Print:
- hep-th/9204046
•
DOI:
- 10.1103/PhysRevLett.69.1006

[18]

General non-extremal rotating black holes in minimal five-dimensional gauged supergravity

- Phys.Rev.Lett. 95 (2005) 161301
•
e-Print:
- hep-th/0506029
•
DOI:
- 10.1103/PhysRevLett.95.161301

[19]

Slowly Rotating Charged Gauss-Bonnet Black holes in AdS Spaces

Hyeong-Chan Kim
(
- Yonsei U.
)
,
Rong-Gen Cai
(
- Beijing, KITPC and
- Beijing, Inst. Theor. Phys.
)

- Phys.Rev.D 77 (2008) 024045
•
e-Print:
- 0711.0885
•
DOI:
- 10.1103/PhysRevD.77.024045

Lovelock gravity, black holes and holography

Xián O. Camanho
(
- Santiago de Compostela U.
)

e-Print:
- 1509.08129

[21]

Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions

Andres Anabalon
(
- Potsdam, Max Planck Inst. and
- CECS, Valdivia
)
,
Nathalie Deruelle
(
- APC, Paris
)
,
Yoshiyuki Morisawa
(
- Osaka U. Econ. Law
)
,
Julio Oliva
(
- CECS, Valdivia
)
,
Misao Sasaki
(
- Kyoto U., Yukawa Inst., Kyoto
)

et al.

- Class.Quant.Grav. 26 (2009) 065002
•
e-Print:
- 0812.3194
•
DOI:
- 10.1088/0264-9381/26/6/065002

[22]

Kerr-Schild Ansatz in Lovelock Gravity

- JHEP 04 (2011) 109
•
e-Print:
- 1103.3182
•
DOI:
- 10.1007/JHEP04(2011)109

[23]

Rotating Solutions in Critical Lovelock Gravities

M. Cvetic
(
- Beijing Normal U. and
- Maribor U. and
- Pennsylvania U.
)
,
Xing-Hui Feng
(
- Beijing Normal U.
)
,
H. Lu
(
- Beijing Normal U.
)
,
C.N. Pope
(
- Beijing Normal U. and
- Cambridge U., DAMTP and
- Texas A-M
)

- Phys.Lett.B 765 (2017) 181-187
•
e-Print:
- 1609.09136
•
DOI:
- 10.1016/j.physletb.2016.12.018

[24]

Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory

Yves Brihaye
(
- U. Mons
)
,
Burkhard Kleihaus
(
- Oldenburg U.
)
,
Jutta Kunz
(
- Oldenburg U.
)
,
Eugen Radu
(
- NUIM, Maynooth and
- Dublin Inst.
)

- JHEP 11 (2010) 098
•
e-Print:
- 1010.0860
•
DOI:
- 10.1007/JHEP11(2010)098

[25]

Simply rotating higher dimensional black holes in Einstein-Gauss-Bonnet theory

- Phys.Rev.D 102 (2020) 8, 084030
•
e-Print:
- 2007.10116
•
DOI:
- 10.1103/PhysRevD.102.084030

1-25 of 71
1
2
3
25 / page