A note on the total action of 4D Gauss–Bonnet theory - INSPIRE

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A note on the total action of 4D Gauss–Bonnet theory

Subhash Mahapatra
(
- Rourkela, NIT
)

Apr 20, 2020

15 pages

Published in:

Eur.Phys.J.C 80 (2020) 10, 992

Published: Oct 27, 2020

e-Print:

2004.09214 [gr-qc]

DOI:

10.1140/epjc/s10052-020-08568-6

View in:

ADS Abstract Service

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Abstract: (Springer)

Recently, a novel four-dimensional Gauss–Bonnet theory has been suggested as a limiting case of the original D-dimensional theory with singular Gauss–Bonnet coupling constant

\alpha \rightarrow \alpha /(D-4)

. The theory is proposed at the level of field equations. Here we analyse this theory at the level of action. We find that the on-shell action and surface terms split into parts, one of which does not scale like

(D-4)

. The limiting

D\rightarrow 4

procedure, therefore, gives unphysical divergences in the on-shell action and surface terms in four dimensions. We further highlight various issues related to the computation of counterterms in this theory.

Note:

15 pages; general discussion extended; typos corrected; references added. Published version

dimension: 4
surface
coupling constant
field equations
Gauss-Bonnet term
gravitation: model
gravitation: action
model: on-shell
Lagrangian formalism

References(68)

Figures(0)

[1]

The Quartic Effective Action for the Heterotic String

David J. Gross
(
- UC, Santa Barbara and
- Princeton U.
)
,
John H. Sloan
(
- UC, Santa Barbara and
- Princeton U.
)

- Nucl.Phys.B 291 (1987) 41-89
•
DOI:
- 10.1016/0550-3213(87)90465-2

[2]

String Generated Gravity Models

- Phys.Rev.Lett. 55 (1985) 2656
•
DOI:
- 10.1103/PhysRevLett.55.2656

[3]

Energy in generic higher curvature gravity theories

Stanley Deser
(
- Brandeis U.
)
,
Bayram Tekin
(
- Brandeis U.
)

- Phys.Rev.D 67 (2003) 084009
•
e-Print:
- hep-th/0212292
•
DOI:
- 10.1103/PhysRevD.67.084009

[4]

Shortcuts to high symmetry solutions in gravitational theories

Stanley Deser
(
- Brandeis U.
)
,
Bayram Tekin
(
- Brandeis U.
)

- Class.Quant.Grav. 20 (2003) 4877-4884
•
e-Print:
- gr-qc/0306114
•
DOI:
- 10.1088/0264-9381/20/22/011

[5]

Gauss-Bonnet black holes in AdS spaces

Rong-Gen Cai
(
- Beijing, Inst. Theor. Phys. and
- Osaka U.
)

- Phys.Rev.D 65 (2002) 084014
•
e-Print:
- hep-th/0109133
•
DOI:
- 10.1103/PhysRevD.65.084014

[6]

Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime

Dražen Glavan
(
- Louvain U., CP3
)
,
Chunshan Lin
(
- Warsaw U.
)

- Phys.Rev.Lett. 124 (2020) 8, 081301
•
e-Print:
- 1905.03601
•
DOI:
- 10.1103/PhysRevLett.124.081301

[7]

The Einstein tensor and its generalizations

D. Lovelock
(
- Waterloo U.
)

- J.Math.Phys. 12 (1971) 498-501
•
DOI:
- 10.1063/1.1665613

[8]

The four-dimensionality of space and the einstein tensor

D. Lovelock
(
- Waterloo U.
)

- J.Math.Phys. 13 (1972) 874-876
•
DOI:
- 10.1063/1.1666069

[9]

A Remarkable property of the Riemann-Christoffel tensor in four dimensions

Cornelius Lanczos
(
- Purdue U.
)

- Annals Math. 39 (1938) 842-850
•
DOI:
- 10.2307/1968467

[10]

Quasinormal modes, stability and shadows of a black hole in the 4D Einstein–Gauss–Bonnet gravity

- Eur.Phys.J.C 80 (2020) 11, 1049
•
e-Print:
- 2003.01188
•
DOI:
- 10.1140/epjc/s10052-020-08639-8

[11]

Innermost stable circular orbit and shadow of the $4D$ Einstein–Gauss–Bonnet black hole

Minyong Guo
(
- Peking U., CHEP
)
,
Peng-Cheng Li
(
- Peking U., CHEP and
- Peking U., SKLNPT
)

- Eur.Phys.J.C 80 (2020) 6, 588
•
e-Print:
- 2003.02523
•
DOI:
- 10.1140/epjc/s10052-020-8164-7

[12]

Charged black holes in AdS spaces in 4D Einstein Gauss-Bonnet gravity

Pedro G.S. Fernandes
(
- Queen Mary, U. of London
)

- Phys.Lett.B 805 (2020) 135468
•
e-Print:
- 2003.05491
•
DOI:
- 10.1016/j.physletb.2020.135468

[13]

Testing the nature of Gauss-Bonnet gravity by four-dimensional rotating black hole shadow

Shao-Wen Wei
(
- Lanzhou U. and
- Qinghai Normal U.
)
,
Yu-Xiao Liu
(
- Lanzhou U. and
- Qinghai Normal U.
)

- Eur.Phys.J.Plus 136 (2021) 4, 436
•
e-Print:
- 2003.07769
•
DOI:
- 10.1140/epjp/s13360-021-01398-9

[14]

Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space

Shao-Wen Wei
(
- Lanzhou U. (main) and
- Qinghai Normal U.
)
,
Yu-Xiao Liu
(
- Lanzhou U. (main) and
- Qinghai Normal U.
)

- Phys.Rev.D 101 (2020) 10, 104018
•
e-Print:
- 2003.14275
•
DOI:
- 10.1103/PhysRevD.101.104018

[15]

Regularized Lovelock gravity

Alessandro Casalino
(
- Trento U. and
- TIFPA-INFN, Trento
)
,
Aimeric Colleaux
(
- Trento U. and
- TIFPA-INFN, Trento
)
,
Massimiliano Rinaldi
(
- Trento U. and
- TIFPA-INFN, Trento
)
,
Silvia Vicentini
(
- Trento U. and
- TIFPA-INFN, Trento
)

- Phys.Dark Univ. 31 (2021) 100770
•
e-Print:
- 2003.07068
•
DOI:
- 10.1016/j.dark.2020.100770

[16]

Black holes in the four-dimensional Einstein-Lovelock gravity

- Phys.Rev.D 101 (2020) 8, 084038
•
e-Print:
- 2003.07788
•
DOI:
- 10.1103/PhysRevD.101.084038

[17]

Rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity and its shadow

Rahul Kumar
(
- Jamia Millia Islamia
)
,
Sushant G. Ghosh
(
- Jamia Millia Islamia and
- KwaZulu Natal U.
)

- JCAP 07 (2020) 053
•
e-Print:
- 2003.08927
•
DOI:
- 10.1088/1475-7516/2020/07/053

[18]

Thermodynamics, phase transition and Joule–Thomson expansion of 4-D Gauss–Bonnet AdS black hole

Kartheek Hegde
(
- NITK, Karnataka
)
,
A. Naveena Kumara
(
- NITK, Karnataka and
- Boskovic Inst., Zagreb
)
,
C.L. Ahmed Rizwan
(
- Payyanur Coll. and
- NITK, Karnataka
)
,
Ajith K. M.
(
- NITK, Karnataka
)
,
Md Sabir Ali
(
- Krishnagar Coll. and
- Indian Inst. Tech., Ropar
)

et al.

- Int.J.Mod.Phys.A 39 (2024) 21, 2450080
•
e-Print:
- 2003.08778
•
DOI:
- 10.1142/S0217751X24500805

[19]

Generating black holes in $4D$ Einstein-Gauss-Bonnet gravity

Sushant G. Ghosh
(
- Jamia Millia Islamia and
- KwaZulu Natal U.
)
,
Rahul Kumar
(
- Jamia Millia Islamia
)

- Class.Quant.Grav. 37 (2020) 24, 245008
•
e-Print:
- 2003.12291
•
DOI:
- 10.1088/1361-6382/abc134

[20]

(In)stability of black holes in the $4D$ Einstein–Gauss–Bonnet and Einstein–Lovelock gravities

- Phys.Dark Univ. 30 (2020) 100697
•
e-Print:
- 2003.12492
•
DOI:
- 10.1016/j.dark.2020.100697

[21]

Dust collapse in 4D Einstein–Gauss–Bonnet gravity

Daniele Malafarina
(
- Nazarbayev U., Astana
)
,
Bobir Toshmatov
(
- Nazarbayev U., Astana and
- Tashkent, Astron. Inst.
)
,
Naresh Dadhich
(
- IUCAA, Pune
)

- Phys.Dark Univ. 30 (2020) 100598
•
e-Print:
- 2004.07089
•
DOI:
- 10.1016/j.dark.2020.100598

[22]

Perturbative and nonperturbative quasinormal modes of 4D Einstein–Gauss–Bonnet black holes

Almendra Aragón
(
- Diego Portales U.
)
,
Ramón Bécar
(
- Temuco U., Catolica
)
,
P.A. González
(
- Diego Portales U.
)
,
Yerko Vásquez
(
- La Serena U.
)

- Eur.Phys.J.C 80 (2020) 8, 773
•
e-Print:
- 2004.05632
•
DOI:
- 10.1140/epjc/s10052-020-8298-7

[23]

Thermodynamic geometry of the novel 4-D Gauss–Bonnet AdS black hole

Seyed Ali Hosseini Mansoori
(
- Shahrood U.
)

- Phys.Dark Univ. 31 (2021) 100776
•
e-Print:
- 2003.13382
•
DOI:
- 10.1016/j.dark.2021.100776

[24]

Superradiance and stability of the regularized 4D charged Einstein-Gauss-Bonnet black hole

Cheng-Yong Zhang
(
- Jinan U.
)
,
Shao-Jun Zhang
(
- Zhejiang U. Tech.
)
,
Peng-Cheng Li
(
- Peking U., CHEP and
- Peking U. and
- Peking U., SKLNPT
)
,
Minyong Guo
(
- Peking U., CHEP
)

- JHEP 08 (2020) 105
•
e-Print:
- 2004.03141
•
DOI:
- 10.1007/JHEP08(2020)105

[25]

Charged 4D Einstein-Gauss-Bonnet-AdS black holes: Shadow, energy emission, deflection angle and heat engine

B. Eslam Panah
(
- Mazandaran U., Babolsar and
- RIAAM, Maragha and
- Natl. Elite Found., Tehran and
- Shiraz U.
)
,
Kh. Jafarzade
(
- Mazandaran U., Babolsar
)
,
S.H. Hendi
(
- Shiraz U. and
- CQRC, Vernon
)

- Nucl.Phys.B 961 (2020) 115269
•
e-Print:
- 2004.04058
•
DOI:
- 10.1016/j.nuclphysb.2020.115269

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