Fierz-Pauli higher derivative gravity

Accioly, Antonio; Ragusa, S.; Mukai, H.; Neto, Edgard de Rey

doi:10.1590/s0103-97332000000300011

Cited by 5 publications

(6 citation statements)

References 9 publications

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“…Another observation concerns the existing connection between the terms involving the bumblebee field in the squared linearized Lagrangian (10) and the ones stemming from higher order Lagrangian terms, as L = βR µν R µν + γR 2 , as depicted in Refs. [83,84,[89][90][91]. We can show that the linearized terms associated with…”

Section: Theoretical Model and The Graviton Propagatormentioning

confidence: 93%

“…In the calculation of the inverse kinetic operator, necessary to determine the graviton propagator, we employ an algorithm based on the Barnes-Rivers rank-two spin projectors [86][87][88][89][90][91], given by P (1) µν,κλ = 1 2 (θ µκ ω νλ + θ µλ ω νκ + θ νκ ω µλ + θ νλ ω µκ ) , P (2) µν,κλ = 1 2 (θ µκ θ νλ + θ µλ θ νκ ) − 1 3 θ µν θ κλ ,…”

Section: Remarks and Conclusionmentioning

confidence: 99%

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Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

et al. 2014

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In this work, we investigate the consequences of the spontaneous breaking of Lorentz symmetry, triggered by the bumblebee vector field, on the usual Einstein-Hilbert theory. Specifically, we consider the Einstein-Hilbert action modified by the bumblebee dynamic field, and evaluate the graviton propagator using an extended basis of Barnes-Rivers tensor projectors, involving the Lorentz-violating vector. Once the propagator is carried out, we proceed with discussing the consistency of the model, writing the dispersion relations, and analyzing causality and unitarity.We verify that this model possesses two dispersion relations: one provides causal and unitary propagating modes, while the second yields a causal but nonunitary mode which spoils the physical consistency of the model.

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Section: Theoretical Model and The Graviton Propagatormentioning

confidence: 93%

Section: Remarks and Conclusionmentioning

confidence: 99%

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

et al. 2014

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“…at quadratic order in κ, where κ2 is a suitable constant that in four dimensions is equal to 24πG, with G being Newton's constant. [11] Here g µν ≡ η µν + κh µν , µ > 0 is a dimensionless parameter, and h ≡ η µν h µν . Indices are raised (lowered) with η µν (η µν ).…”

Section: Discussionmentioning

confidence: 99%

Is It Physically Sound to Add a Topologically Massive Term to Three-Dimensional Massive Electromagnetic or Gravitational Models?

Accioly¹,

Dias²

2006

Int. J. Mod. Phys. A

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The addition of a topologically massive term to an admittedly nonunitary three-dimensional massive model, be it an electromagnetic system or a gravitational one, does not cure its non-unitarity. What about the enlargement of avowedly unitary massive models by way of a topologically massive term? The electromagnetic models remain unitary after the topological augmentation but, surprisingly enough, the gravitational ones have their unitarity spoiled. Here we analyze these issues and present the explanation why unitary massive gravitational models, unlike unitary massive electromagnetic ones, cannot coexist from the viewpoint of unitarity with topologically massive terms. We also discuss the novel features of the three-term effective field models that are gauge-invariant.Topologically massive models; massive electromagnetic models; massive gravitational models; unitarity; effective field models.

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“…Hence, β III is a function of that velocity. Specialized models for type III violations have been proposed, e.g., based on nonminimal coupling [37][38][39]. A combination of gravitoscalar and gravitovector fields produce models exhibiting type II violation, although in special cases their effect on normal matter can cancel [40].…”

Section: Type IIImentioning

confidence: 99%

Gravitational redshift, equivalence principle, and matter waves

Hohensee

Estey

Monsalve

et al. 2011

J. Phys.: Conf. Ser.

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We review matter wave and clock comparison tests of the gravitational redshift. To elucidate their relationship to tests of the universality of free fall (UFF), we define scenarios wherein redshift violations are coupled to violations of UFF ("type II"), or independent of UFF violations ("type III"), respectively. Clock comparisons and atom interferometers are sensitive to similar effects in type II and precisely the same effects in type III scenarios, although type III violations remain poorly constrained. Finally, we describe the "Geodesic Explorer," a conceptual spaceborne atom interferometer that will test the gravitational redshift with an accuracy 5 orders of magnitude better than current terrestrial redshift experiments for type II scenarios and 12 orders of magnitude better for type III.PACS numbers:

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Fierz-Pauli higher derivative gravity

Abstract: òR R d4 x and R² d4 x are included into the Fierz-Pauli gravitational action. Unitarity is discussed at the tree-level. The issue of the gravitational deflection of a light ray is also considered.]]>

Cited by 5 publications

References 9 publications

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

Einstein-Hilbert graviton modes modified by the Lorentz-violating bumblebee field

Is It Physically Sound to Add a Topologically Massive Term to Three-Dimensional Massive Electromagnetic or Gravitational Models?

Gravitational redshift, equivalence principle, and matter waves

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