Critical gravity in the Chern–Simons modified gravity

Moon, Taeyoon; Myung, Yun Soo

doi:10.1140/epjc/s10052-011-1796-x

Cited by 8 publications

(9 citation statements)

References 42 publications

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“…Then the solution represents a Schwarzschild (A)de-Sitter spacetime, which under proper limit leads to the Nariai spacetime. This has the peculiar property that a black hole in Nariai spacetime has increasing surface area due to quantum corrections as shown by Bousso and Hawking [60][61][62]. This phenomenon of antievaporation was then generalized for Nariai black holes in f (R) gravity [63], with f (R) gravity playing the role of anomaly induced effective action leading to anti evaporation.…”

Section: Stability Of the Solutionsmentioning

confidence: 95%

Spherically symmetric brane spacetime with bulk $$f(\mathcal {R})$$ f ( R ) gravity

Chakraborty

SenGupta

2015

Eur. Phys. J. C

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Introducing f (R) term in the five-dimensional bulk action we derive effective Einstein's equation on the brane using Gauss-Codazzi equation. This effective equation is then solved for different conditions on dark radiation and dark pressure to obtain various spherically symmetric solutions. Some of these static spherically symmetric solutions correspond to black hole solutions, with parameters induced from the bulk. Specially, the dark pressure and dark radiation terms (electric part of Weyl curvature) affect the brane spherically symmetric solutions significantly. We have solved for one parameter group of conformal motions where the dark radiation and dark pressure terms are exactly obtained exploiting the corresponding Lie symmetry. Various thermodynamic features of these spherically symmetric space-times are studied, showing existence of second order phase transition. This phenomenon has its origin in the higher curvature term with f (R) gravity in the bulk.

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Section: Stability Of the Solutionsmentioning

confidence: 95%

Spherically symmetric brane spacetime with bulk $$f(\mathcal {R})$$ f ( R ) gravity

Chakraborty

SenGupta

2015

Eur. Phys. J. C

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“…The supersymmetric generalization of the critical gravity and its unitary extension were obtained in [9], analogous to the off-shell extended supergravities in three dimensions [10]- [14]. Recent related works in critical gravities can be found in [15]- [27] Many important properties derived in extended gravities rely on the explicit solutions of the massive and massless graviton modes. For example, once we know the explicit form of a mode, we can determine whether it is a ghost or not by evaluating its energy.…”

Section: Introductionmentioning

confidence: 99%

Linearized modes in extended and critical gravities

Chen

Lü

Shao

2012

Class. Quantum Grav.

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We construct explicit solutions for the linearized massive and massless spin-2, vector and scalar modes around the AdS spacetimes in diverse dimensions. These modes may arise in extended (super)gravities with higher curvature terms in general dimensions. Log modes in critical gravities can also be straightforwardly deduced. We analyze the properties of these modes and obtain the tachyon-free condition, which allows negative mass square for these modes. However, such modes may not satisfy the standard AdS boundary condition and can be truncated out from the spectrum. arXiv:1108.5184v1 [hep-th]

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“…In the Chern-Simons gravity which is equivalent to the α = 0 limit of (3.3) [31], we obtain two critical points of k = ℓ 2 /2 and k = −ℓ 2 from Eq.(3.9). For each k, (3.3) and (3.4) become the third-order equation as…”

Section: Tricritical and Critical Pointsmentioning

confidence: 85%

“…It is known that for a particular θ [31,32], one can manipulate δC ab so that the linearized equation (2.16) can be rewritten compactly.…”

Section: General Massive Gravity In Four Dimensionsmentioning

confidence: 99%

Tricritical gravity waves in the four-dimensional generalized massive gravity

Moon

Myung

2013

Eur. Phys. J. C

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We construct a generalized massive gravity by combining quadratic curvature gravity with the Chern-Simons term in four dimensions. This may be a candidate for the parity-odd tricritical gravity theory. Considering the AdS 4 vacuum solution, we derive the linearized Einstein equation, which is not similar to that of the three dimensional (3D) generalized massive gravity. When a perturbed metric tensor is chosen to be the Kerr-Schild form, the linearized equation reduces to a single massive scalar equation. At the tricritical points where two masses are equal to −1 and 2, we obtain a log-square wave solution to the massive scalar equation. This is compared to the 3D tricritical generalized massive gravity whose dual is a rank-3 logarithmic conformal field theory.

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Critical gravity in the Chern–Simons modified gravity

Cited by 8 publications

References 42 publications

Spherically symmetric brane spacetime with bulk $$f(\mathcal {R})$$ f ( R ) gravity

Spherically symmetric brane spacetime with bulk $$f(\mathcal {R})$$ f ( R ) gravity

Linearized modes in extended and critical gravities

Tricritical gravity waves in the four-dimensional generalized massive gravity

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