Domain walls as probes of gravity

Dvali, Gia; Gabadadze, Gregory; Pujolàs, Oriol; Rahman, Rakibur

doi:10.1103/physrevd.75.124013

Cited by 38 publications

(75 citation statements)

References 34 publications

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“…entering (14)(15) are all equal to each other. Note that for a given ansatz, the constancy of the traces (or of the eigenvalues) is a frame independent notion.…”

Section: Exact Solutionsmentioning

confidence: 99%

“…that it would not be seen in exact solutions of the theory, but only shows up as an artifact of the linearization procedure [9]. While this seems problematic in non linear massive gravity [10,11], there is some evidence that it does work in DGP gravity [12,13,14]. It is then of some importance to better understand exact solutions of various types of massive gravities, among which bigravity theories.…”

Section: Introductionmentioning

confidence: 99%

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Bigravity and Lorentz-violating massive gravity

Blas

Deffayet²,

Garriga

2007

Phys. Rev. D

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Bigravity is a natural arena where a non-linear theory of massive gravity can be formulated. If the interaction between the metrics f and g is non-derivative, spherically symmetric exact solutions can be found. At large distances from the origin, these are generically Lorentz-breaking bi-flat solutions (provided that the corresponding vacuum energies are adjusted appropriately). The spectrum of linearized perturbations around such backgrounds contains a massless as well as a massive graviton, with two physical polarizations each. There are no propagating vectors or scalars, and the theory is ghost free (as happens with certain massive gravities with explicit breaking of Lorentz invariance). At the linearized level, corrections to GR are proportional to the square of the graviton mass, and so there is no vDVZ discontinuity. Surprisingly, the solution of linear theory for a static spherically symmetric source does not agree with the linearization of any of the known exact solutions. The latter coincide with the standard Schwarzschild-(A)dS solutions of General Relativity, with no corrections at all. Another interesting class of solutions is obtained where f and g are proportional to each other. The case of bi-de Sitter solutions is analyzed in some detail.1 dblas@ffn.ub.es 2 deffayet@iap.fr 3 garriga@ffn.ub.es

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“…entering (14)(15) are all equal to each other. Note that for a given ansatz, the constancy of the traces (or of the eigenvalues) is a frame independent notion.…”

Section: Exact Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bigravity and Lorentz-violating massive gravity

Blas

Deffayet²,

Garriga

2007

Phys. Rev. D

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“…If we let m 6 ! 1, thereby effectively decoupling the sixth dimension and turning off the cubic terms in (8), then (18) reduces to À 0 ¼ Ã=2M Þy þ c. For Ã > 0, as assumed above, the integration constant c must be positive since must always be positive (since it is the coefficient of R 5 in the action). Hence inevitably vanishes at some finite value of y in this case, indicating strong coupling.…”

Section: Obtaining Flat Brane Solutions For Any Tensionmentioning

confidence: 99%

“…The Dvali-Gabadadze-Porrati (DGP) model [6], in particular, takes this idea to the extreme and considers our 4D Universe to be embedded in an empty 5D bulk of infinite extent. Despite being observationally disfavored [7][8][9][10], 1 the normal branch of the DGP model is perturbatively ghost-free, in contrast to the selfaccelerating branch [14][15][16][17][18][19], and thus represents a perturbatively consistent infrared modification of gravity in which the graviton has a soft mass.…”

Section: Introductionmentioning

confidence: 99%

Screening bulk curvature in the presence of large brane tension

et al. 2011

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We study a flat brane solution in an effective 5D action for cascading gravity in six dimensions, and propose a mechanism to screen extrinsic curvature in the presence of a large tension on the brane. The screening mechanism leaves the bulk Riemann-flat, thus making it simpler to generalize large extradimension dark energy models to higher codimensions. By studying an action with cubic interactions for the brane-bending scalar mode, we find that the perturbed action suffers from ghostlike instabilities for positive tension. The solution can be made ghost-free for sufficiently small negative tension, though the connection to 6D cascading gravity is less clear in this case. Disciplines Physical Sciences and Mathematics | Physics CommentsSuggested Citation: Agarwal, N., Bean, R., Khoury, J. and Trodden, M. (2011 We study a flat brane solution in an effective 5D action for cascading gravity in six dimensions, and propose a mechanism to screen extrinsic curvature in the presence of a large tension on the brane. The screening mechanism leaves the bulk Riemann-flat, thus making it simpler to generalize large extradimension dark energy models to higher codimensions. By studying an action with cubic interactions for the brane-bending scalar mode, we find that the perturbed action suffers from ghostlike instabilities for positive tension. The solution can be made ghost-free for sufficiently small negative tension, though the connection to 6D cascading gravity is less clear in this case.

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“…The metric above is actually closely related to the domain-wall solutions studied recently in [8]. In that case it was found that for a domain wall the metric is just the metric of a codimension two object in 5D, i.e.…”

Section: Lorentz Violation In Dgpmentioning

confidence: 90%

Consistent Lorentz violation in flat and curved space

Dvali¹,

Pujolàs

Redi

2007

Phys. Rev. D

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Motivated by the severity of the bounds on Lorentz violation in the presence of ordinary gravity, we study frameworks in which Lorentz violation does not affect the spacetime geometry. We show that there are at least two inequivalent classes of spontaneous Lorentz breaking that even in the presence of gravity result in Minkowski space. The first one generically corresponds to the condensation of tensor fields with tachyonic mass which in turn is related to ghost-condensation. In the second class, realized by the DGP model or theories of massive gravitons, spontaneous Lorentz breaking is induced by the expectation value of sources. The generalization to de-Sitter space is also discussed. *

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Domain walls as probes of gravity

Cited by 38 publications

References 34 publications

Bigravity and Lorentz-violating massive gravity

Bigravity and Lorentz-violating massive gravity

Screening bulk curvature in the presence of large brane tension

Consistent Lorentz violation in flat and curved space

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