Built on

G. Jafari, “Stress Tensor on Null Boundaries,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
D. Bak and A. Gustavsson, “Nonabelian M5-brane on S q 6 S^{6}_{q} ,” JHEP 1907
Original
1906
Earlier work this paper cites.
G. Anastasiou, I. J. Araya, A. Guijosa and R. Olea, “Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs,” arXiv:1908.11447 [hep-th]
Original
1908
Earlier work this paper cites.
G. Anastasiou, I. J. Araya, A. Guijosa and R. Olea, “Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs,” arXiv:1908.11447 [hep-th]
Original
1908
Earlier work this paper cites.
S. Chakraborty and T. Padmanabhan, “Boundary Term in the Gravitational Action is the Heat Content of the Null surfaces,” arXiv:1909.00096 [gr-qc]
Original
1909
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev. D 15
1977
Earlier work this paper cites.
J. D. Brown and J. W. York, Jr., “Quasilocal energy and conserved charges derived from the gravitational action,” Phys. Rev. D 47
1993
Earlier work this paper cites.
D. V. Fursaev and S. N. Solodukhin, “On the description of the Riemannian geometry in the presence of conical defects,” Phys. Rev. D 52
1995
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP 9807
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS / CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.

Similar

V. Balasubramanian and P. Kraus, “A Stress tensor for Anti-de Sitter gravity,” Commun. Math. Phys. 208
1999
Cited alongside, same era.
P. Kraus, F. Larsen and R. Siebelink, “The gravitational action in asymptotically AdS and flat space-times,” Nucl. Phys. B 563
1999
Cited alongside, same era.
M. Cvetic et al
1999
Cited alongside, same era.
M. Cvetic and S. S. Gubser, “Phases of R charged black holes, spinning branes and strongly coupled gauge theories,” JHEP 9904
1999
Cited alongside, same era.
R. B. Mann and D. Marolf, “Holographic renormalization of asymptotically flat spacetimes,” Class. Quant. Grav. 23
2006
Cited alongside, same era.
R. Olea, “Regularization of odd-dimensional AdS gravity: Kounterterms,” JHEP 0704

Then

R. Emparan, R. Suzuki and K. Tanabe, “The large D limit of General Relativity,” JHEP 1306
Original
2013
Later among the works it cites.
J. A. Minahan, A. Nedelin and M. Zabzine, “5D super Yang-Mills theory and the correspondence to AdS 7 /CFT 6 ,” J. Phys. A 46
Original
2013
Later among the works it cites.
K. Parattu, S. Chakraborty and T. Padmanabhan, “Variational Principle for Gravity with Null and Non-null boundaries: A Unified Boundary Counter-term,” Eur. Phys. J. C 76
Original
2016
Later among the works it cites.
L. Lehner, R. C. Myers, E. Poisson and R. D. Sorkin, “Gravitational action with null boundaries,” Phys. Rev. D 94
Original
2016
Later among the works it cites.
I. Jubb, J. Samuel, R. Sorkin and S. Surya, “Boundary and Corner Terms in the Action for General Relativity,” Class. Quant. Grav. 34

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2019

Renormalization of the Einstein-Hilbert action

Gustavsson, Andreas

Understand

We examine how the Einstein-Hilbert action is renormalized by adding the usual counterterms and additional corner counterterms when the boundary surface has corners.

A bulk geometry asymptotic to $H^{d+1}$ can have boundaries $S^k \times H^{d-k}$ and corners for $0\leq k<d$.
We show that the conformal anomaly when $d$ is even is independent of $k$.
When $d$ is odd the renormalized action is a finite term that we show is independent of $k$ when $k$ is also odd.

Built on

G. Jafari, “Stress Tensor on Null Boundaries,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
D. Bak and A. Gustavsson, “Nonabelian M5-brane on S q 6 S^{6}_{q} ,” JHEP 1907
Original
1906
Earlier work this paper cites.
G. Anastasiou, I. J. Araya, A. Guijosa and R. Olea, “Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs,” arXiv:1908.11447 [hep-th]
Original
1908
Earlier work this paper cites.
G. Anastasiou, I. J. Araya, A. Guijosa and R. Olea, “Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs,” arXiv:1908.11447 [hep-th]
Original
1908
Earlier work this paper cites.
S. Chakraborty and T. Padmanabhan, “Boundary Term in the Gravitational Action is the Heat Content of the Null surfaces,” arXiv:1909.00096 [gr-qc]
Original
1909
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev. D 15
1977
Earlier work this paper cites.
J. D. Brown and J. W. York, Jr., “Quasilocal energy and conserved charges derived from the gravitational action,” Phys. Rev. D 47
1993
Earlier work this paper cites.
D. V. Fursaev and S. N. Solodukhin, “On the description of the Riemannian geometry in the presence of conical defects,” Phys. Rev. D 52
1995
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP 9807
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS / CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.

Similar

V. Balasubramanian and P. Kraus, “A Stress tensor for Anti-de Sitter gravity,” Commun. Math. Phys. 208
1999
Cited alongside, same era.
P. Kraus, F. Larsen and R. Siebelink, “The gravitational action in asymptotically AdS and flat space-times,” Nucl. Phys. B 563
1999
Cited alongside, same era.
M. Cvetic et al
1999
Cited alongside, same era.
M. Cvetic and S. S. Gubser, “Phases of R charged black holes, spinning branes and strongly coupled gauge theories,” JHEP 9904
1999
Cited alongside, same era.
R. B. Mann and D. Marolf, “Holographic renormalization of asymptotically flat spacetimes,” Class. Quant. Grav. 23
2006
Cited alongside, same era.
R. Olea, “Regularization of odd-dimensional AdS gravity: Kounterterms,” JHEP 0704

Then

R. Emparan, R. Suzuki and K. Tanabe, “The large D limit of General Relativity,” JHEP 1306
Original
2013
Later among the works it cites.
J. A. Minahan, A. Nedelin and M. Zabzine, “5D super Yang-Mills theory and the correspondence to AdS 7 /CFT 6 ,” J. Phys. A 46
Original
2013
Later among the works it cites.
K. Parattu, S. Chakraborty and T. Padmanabhan, “Variational Principle for Gravity with Null and Non-null boundaries: A Unified Boundary Counter-term,” Eur. Phys. J. C 76
Original
2016
Later among the works it cites.
L. Lehner, R. C. Myers, E. Poisson and R. D. Sorkin, “Gravitational action with null boundaries,” Phys. Rev. D 94
Original
2016
Later among the works it cites.
I. Jubb, J. Samuel, R. Sorkin and S. Surya, “Boundary and Corner Terms in the Action for General Relativity,” Class. Quant. Grav. 34

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2007

Cited alongside, same era.

R. L. Arnowitt, S. Deser and C. W. Misner, “The Dynamics of general relativity,” Gen. Rel. Grav. 40

2008

Cited alongside, same era.

E. Dyer and K. Hinterbichler, “Boundary Terms, Variational Principles and Higher Derivative Modified Gravity,” Phys. Rev. D 79

Original

2009

Cited alongside, same era.

A. Guarnizo, L. Castaneda and J. M. Tejeiro, “Boundary Term in Metric f(R) Gravity: Field Equations in the Metric Formalism,” Gen. Rel. Grav. 42

Original

2010

Cited alongside, same era.

N. Deruelle, M. Sasaki, Y. Sendouda and D. Yamauchi, “Hamiltonian formulation of f(Riemann) theories of gravity,” Prog. Theor. Phys. 123

Original

2010

Cited alongside, same era.

M. Taylor and W. Woodhead, “The holographic F theorem,” arXiv:1604.06809 [hep-th]

Original

Cited in the paper.

C. Wang and L. Zhao, “f(Ricci) gravity,” arXiv:1812.01854 [gr-qc]

Original

Cited in the paper.

Original

2017

Later among the works it cites.

S. S. Pufu, “The F-Theorem and F-Maximization,” J. Phys. A 50

Original

2017

Later among the works it cites.

D. Rodriguez-Gomez and J. G. Russo, “Free energy and boundary anomalies on 𝕊 a × ℍ b \mathbb{S}^{a}\times\mathbb{H}^{b} spaces,” JHEP 1710

Original

2017

Later among the works it cites.

H. Khodabakhshi, F. Shojai and A. Shirzad, “On the classification of consistent boundary conditions for f ⁡ ( R ) \mathit{f}(\mathit{R}) -Gravity,” Eur. Phys. J. C 78

2018

Later among the works it cites.

J. Jiang and H. Zhang, “Surface term, corner term, and action growth in F ⁡ ( R a b c d ) F(R_{abcd}) gravity theory,” Phys. Rev. D 99

Original

2019

Closest in time.

M. Visser, “Explicit form of the Mann-Marolf surface term in (3+1) dimensions,” Phys. Rev. D 79

Original

2068

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