Explicit form of the Mann-Marolf surface term in (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>) dimensions

Visser, Matt

doi:10.1103/physrevd.79.024023

Cited by 4 publications

(4 citation statements)

References 18 publications

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“…In 3 + 1 dimensions with AF boundary conditions it is possible to obtainK ab explicitly[34] 4. The equation (3.12) admits two solutions with opposite signs.…”

mentioning

confidence: 99%

Boundary terms unbound! Holographic renormalization of asymptotically linear dilaton gravity

Mann

McNees

2010

Class. Quantum Grav.

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A variational principle is constructed for gravity coupled to an asymptotically linear dilaton and a p-form field strength. This requires the introduction of appropriate surface terms -also known as 'boundary counterterms' -in the action. The variation of the action with respect to the boundary metric yields a boundary stress tensor, which is used to construct conserved charges that generate the asymptotic symmetries of the theory. In most cases a minimal set of assumptions leads to a unique set of counterterms. However, for certain examples we find families of actions that depend on one or more continuous parameters. We show that the conserved charges and the value of the on-shell action are always independent of these parameters.

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“…In 3 + 1 dimensions with AF boundary conditions it is possible to obtainK ab explicitly[34] 4. The equation (3.12) admits two solutions with opposite signs.…”

mentioning

confidence: 99%

Boundary terms unbound! Holographic renormalization of asymptotically linear dilaton gravity

Mann

McNees

2010

Class. Quantum Grav.

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“…A(r, z) =Ā(r, z) + log A 0 (r) etc.). The functions 22 It is interesting to notice the analogy with the D > 4 asymptotically Minkowski black holes with a nonspherical topology of the horizon which present the same feature. For example, the horizon topology of a black ring is S D−3 × S 1 (i.e.…”

Section: A2 Caged Black Holesmentioning

confidence: 93%

“…Recently, a particularly interesting counterterm for asymptotically locally flat spacetimes has been put forward by Mann and Marolf [10] (see also [19][20][21][22][23]). This counterterm is taken to be the traceK of a symmetric tensorK ij , which in general dimensions 3 is defined implicitly in terms of the Ricci tensor R ij of the induced metric on the boundary via the relation:…”

Section: Jhep09(2009)025mentioning

confidence: 99%

Harrison transformation and charged black objects in Kaluza-Klein theory

Kleihaus

Kunz

Radu

et al. 2009

J. High Energy Phys.

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We generate charged black brane solutions in D−dimensions in a theory of gravity coupled to a dilaton and an antisymmetric form, by using a Harrison-type transformation. The seed vacuum solutions that we use correspond to uplifted Kaluza-Klein black strings and black holes in (D − p)-dimensions. A generalization of the Marolf-Mann quasilocal formalism to the Kaluza-Klein theory is also presented, the global charges of the black objects being computed in this way. We argue that the thermodynamics of the charged solutions can be derived from that of the vacuum configurations. Our results show that all charged Kaluza-Klein solutions constructed by means of Harrison transformations are thermodynamically unstable in a grand canonical ensemble. The general formalism is applied to the case of nonuniform black strings and caged black hole solutions in D = 5, 6 Einstein-Maxwell-dilaton gravity, whose geometrical properties and thermodynamics are discussed. We argue that the topology changing transition scenario, which was previously proposed in the vacuum case, also holds in this case. Spinning generalizations of the charged black strings are constructed in six dimensions in the slowly rotating limit. We find that the gyromagnetic ratio of these solutions possesses a nontrivial dependence on the nonuniformity parameter.

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“…This problem was solved when d = 3 [33], but the method used there does not generalize to other dimensions. For other dimensions we can instead make a 1/d expansion to arbirary order.…”

Section: Jhep05(2020)064mentioning

confidence: 99%

Renormalization of the Einstein-Hilbert action

Gustavsson

2020

J. High Energ. Phys.

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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 × H d−k and corners for 0 ≤ 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. When k is even we were unable to extract the finite term using the counterterm method and we address this problem using instead the Kounterterm method. We also compute the mass of a two-charged black hole in AdS 7 and show that background subtraction agrees with counterterm renormalization only if we use the infinite series expansion for the counterterm.

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Explicit form of the Mann-Marolf surface term in (3+1) dimensions

Cited by 4 publications

References 18 publications

Boundary terms unbound! Holographic renormalization of asymptotically linear dilaton gravity

Boundary terms unbound! Holographic renormalization of asymptotically linear dilaton gravity

Harrison transformation and charged black objects in Kaluza-Klein theory

Renormalization of the Einstein-Hilbert action

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