Hořava gravity at a Lifshitz point: A progress report - INSPIRE

DataBETA

Hořava gravity at a Lifshitz point: A progress report

Anzhong Wang
(
- Baylor U. and
- Zhejiang U. Tech.
)

Jan 21, 2017

56 pages

Published in:

Int.J.Mod.Phys.D 26 (2017) 07, 1730014

Published: Mar 16, 2017

e-Print:

1701.06087 [gr-qc]

DOI:

10.1142/S0218271817300142

View in:

reference search187 citations

Citations per year

Abstract: (WSP)

Hořava’s quantum gravity at a Lifshitz point is a theory intended to quantize gravity by using traditional quantum field theories. To avoid Ostrogradsky’s ghosts, a problem that has been facing in quantization of general relativity since the middle of 1970’s, Hořava chose to break the Lorentz invariance by a Lifshitz-type of anisotropic scaling between space and time at the ultra-high energy, while recovering (approximately) the invariance at low energies. With the stringent observational constraints and self-consistency, it turns out that this is not an easy task, and various modifications have been proposed, since the first incarnation of the theory in 2009. In this review, we shall provide a progress report on the recent development of Hořava gravity. In particular, we first present four so far most-studied versions of Hořava gravity, by focusing first on their self-consistency and then their consistency with experiments, including the solar system tests and cosmological observations. Then, we provide a general review on the recent development of the theory in three different but also related areas: (i) universal horizons, black holes and their thermodynamics, (ii) nonrelativistic gauge/gravity duality and (iii) quantization of the theory. The studies in these areas can be easily generalized to other gravitational theories with broken Lorentz invariance.

Note:

revtex4, three figures. Corrected various typos. Int. J. Mod. Phys. D26 (2017) 1730014

04.60.−m
04.70.−s
97.60.Lf
98.80.−k
Quantum gravity
universal horizons
Hawking radiation
nonrelativistic gauge/gravity duality
violation: Lorentz
gravitation: quantization

References(341)

Figures(3)

[1]

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

ATLAS

Collaboration

•

Georges Aad
(
- Freiburg U.
)

et al.

- Phys.Lett.B 716 (2012) 1-29
•
e-Print:
- 1207.7214
•
DOI:
- 10.1016/j.physletb.2012.08.020

[2]

Observation of a New Boson at a Mass of 125 GeV with the CMS Experiment at the LHC

CMS

Collaboration

•

Serguei Chatrchyan
(
- Yerevan Phys. Inst.
)

et al.

- Phys.Lett.B 716 (2012) 30-61
•
e-Print:
- 1207.7235
•
DOI:
- 10.1016/j.physletb.2012.08.021

[3]

A Measurement of excess antenna temperature at 4080-Mc/s

- Astrophys.J. 142 (1965) 419-421
•
DOI:
- 10.1086/148307

[4]

Four year COBE DMR cosmic microwave background observations: Maps and basic results

C.L. Bennett
(
- NASA, Goddard
)
,
A. Banday
(
- Hughes STX, Greenbelt
)
,
K.M. Gorski
(
- Hughes STX, Greenbelt
)
,
G. Hinshaw
(
- Hughes STX, Greenbelt
)
,
P. Jackson
(
- Hughes STX, Greenbelt
)

et al.

- Astrophys.J.Lett. 464 (1996) L1-L4
•
e-Print:
- astro-ph/9601067
•
DOI:
- 10.1086/310075

[5]

Power spectrum of primordial inhomogeneity determined from the four year COBE DMR sky maps

K.M. Gorski
(
- Hughes STX, Greenbelt
)
,
A.J. Banday
(
- Hughes STX, Greenbelt and
- Garching, Max Planck Inst.
)
,
C.L. Bennett
(
- NASA, Goddard
)
,
G. Hinshaw
(
- Hughes STX, Greenbelt
)
,
A. Kogut
(
- Hughes STX, Greenbelt
)

et al.

- Astrophys.J.Lett. 464 (1996) L11
•
e-Print:
- astro-ph/9601063
•
DOI:
- 10.1086/310077

[6]

Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation

WMAP

Collaboration

•

E. Komatsu
(
- Texas U.
)

et al.

- Astrophys.J.Suppl. 192 (2011) 18
•
e-Print:
- 1001.4538
•
DOI:
- 10.1088/0067-0049/192/2/18

[7]

Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters

D. Larson
(
- Johns Hopkins U.
)
,
J. Dunkley
(
- Oxford U.
)
,
G. Hinshaw
(
- NASA, Goddard
)
,
E. Komatsu
(
- Texas U.
)
,
M.R. Nolta
(
- Canadian Inst. Theor. Astrophys.
)

et al.

- Astrophys.J.Suppl. 192 (2011) 16
•
e-Print:
- 1001.4635
•
DOI:
- 10.1088/0067-0049/192/2/16

[8]

Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters

Planck

Collaboration

•

N. Aghanim
(
- Orsay
)

et al.

- Astron.Astrophys. 594 (2016) A11
•
e-Print:
- 1507.02704
•
DOI:
- 10.1051/0004-6361/201526926

[8]

Planck 2015 results. XX. Constraints on inflation

Planck

Collaboration

•

P.A.R. Ade
(
- Cardiff U.
)

et al.

- Astron.Astrophys. 594 (2016) A20
•
e-Print:
- 1502.02114
•
DOI:
- 10.1051/0004-6361/201525898

[8]

Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters

Planck

Collaboration

•

N. Aghanim
(
- Orsay
)

et al.

- Astron.Astrophys. 594 (2016) A11
•
e-Print:
- 1507.02704
•
DOI:
- 10.1051/0004-6361/201526926

[9]

Black Hole Thermodynamics

S. Carlip
(
- UC, Davis
)

- Int.J.Mod.Phys.D 23 (2014) 1430023
•
e-Print:
- 1410.1486
•
DOI:
- 10.1142/S0218271814300237

[10]

Observational Evidence for Black Holes

e-Print:
- 1312.6698

[11]

Observation of Gravitational Waves from a Binary Black Hole Merger

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 6, 061102
•
e-Print:
- 1602.03837
•
DOI:
- 10.1103/PhysRevLett.116.061102

[12]

The Large Scale Structure of Space-Time

- ,
•
DOI:
- 10.1017/9781009253161

[13]

Quantum Gravity in 2+1 Dimensions, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge,)

S. Carlip

[14]

Quantum Gravity, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge,)

C. Rovelli

[15]

Quantum Gravity, 3rd edn. (Oxford Science Publications, Oxford University Press,)

C. Kiefer

[16]

in General Relativity: An Einstein Centenary Survey, S. W. Hawking and W. Israel (eds.) (Cambridge University Press, Cambridge,)

S. Weinberg

[17]

Renormalization of Higher Derivative Quantum Gravity

K.S. Stelle
(
- Brandeis U.
)

- Phys.Rev.D 16 (1977) 953-969
•
DOI:
- 10.1103/PhysRevD.16.953

[18]

Mem. Ac. St. Petersbourg VI 4 (1850) 385

M. Ostrogradsky

[19]

Ostrogradsky's theorem on Hamiltonian instability

Richard P. Woodard
(
- Florida U.
)

- Scholarpedia 10 (2015) 8, 32243
•
e-Print:
- 1506.02210
•
DOI:
- 10.4249/scholarpedia.32243

[20]

Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability

David Langlois
(
- APC, Paris
)
,
Karim Noui
(
- Tours U., CNRS and
- APC, Paris
)

- JCAP 02 (2016) 034
•
e-Print:
- 1510.06930
•
DOI:
- 10.1088/1475-7516/2016/02/034

[21]

Ostrogradsky in Theories with Multiple Fields

- JCAP 06 (2016) 041
•
e-Print:
- 1604.08638
•
DOI:
- 10.1088/1475-7516/2016/06/041

[22]

Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order

Jibril Ben Achour
(
- Fudan U.
)
,
Marco Crisostomi
(
- Portsmouth U., ICG
)
,
Kazuya Koyama
(
- Portsmouth U., ICG
)
,
David Langlois
(
- APC, Paris
)
,
Karim Noui
(
- APC, Paris and
- Tours U., CNRS
)

et al.

- JHEP 12 (2016) 100
•
e-Print:
- 1608.08135
•
DOI:
- 10.1007/JHEP12(2016)100

[23]

Quantum Gravity at a Lifshitz Point

Petr Horava
(
- UC, Berkeley and
- LBL, Berkeley
)

- Phys.Rev.D 79 (2009) 084008
•
e-Print:
- 0901.3775
•
DOI:
- 10.1103/PhysRevD.79.084008

1-25 of 341
1
2
3
4
5
•••
14
25 / page