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Disformal transformation

WebJan 4, 2024 · We consider a higher-derivative generalization of disformal transformations in D -dimensional spacetime and clarify the conditions under which they form a group with respect to the matrix product and the functional composition. These conditions allow us to systematically construct the inverse transformation in a fully covariant manner. WebAlthough the conformal transformation in non-relativistic holography can easily be rephrased in terms of Newton–Cartan geometry, we show that it requires a nontrivial procedure to arrive at the...

Transformation of primordial cosmological perturbations under the ...

WebDegenerate scalar-tensor theories of gravity extend general relativity by a single degree of freedom, despite their equations of motion being higher than second order. In some cases, this is a mere consequence of a dis… WebApr 26, 2024 · The transformation removes the curvature singularity located at the origin of time. An essential difference from previous work in the literature is that the origin of time is not sent to past infinity by the transformation but it remains at a finite time in the past. Thus the geometry becomes extensible beyond the singularity. fall leaf sugar cookies https://mueblesdmas.com

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WebJul 22, 2024 · Interestingly enough, we show that the disformal transformation, generated by this scalar field, and with a constant degree of disformality, leaves invariant (up to diffeomorphisms) the Myers–Perry metric with equal momenta. WebFor disformal transformation, it is found that both the gauge-invariant scalar and tensor primordial cosmological perturbations [18,19,20,21,22], the seeds that gave rise to the current universe,... WebJan 31, 2024 · For more general disformal transformations relating gravitational and physical geometries, we show how to establish this equivalence by taking the quantum effects inside the disformal degrees... fall leaf transparent background

Phys. Rev. D 102, 124017 (2024) - Disformal …

Category:Resolving a spacetime singularity with field transformations

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Disformal transformation

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WebMay 11, 2015 · The disformal transformation of the metric is just a generalized change of units, thus this operation on the field variable of the theory does not introduce any new input or new constraint. Exactly because of this reason we call our finding an “induced geometry” from disformal transformation. 3.3. Gauge transformation WebJun 13, 2024 · We investigate both the null energy condition (NEC) violating scenario and the c T-diminishing scenario for generating enhanced power spectrum of primordial gravitational waves (GWs) during inflation, where c T is the propagating speed of primordial GWs. Both of these two scenarios can be realized stably with theories beyond …

Disformal transformation

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WebSystem & Behavior Transformation: At Transformational Solutions, our associates know that it is job 1 to ensure that the plans vision and plan that was created in the earlier … WebMar 1, 2024 · In the last few years, disformal transformations have been used as a simple modification of the spacetime metric, due to the presence of a given field (scalar, vector or spinor), that can help...

WebOct 14, 2013 · Here, we argue that disformal transformations play, for the Horndeski theory, a similar role to that of conformal transformations for scalar-tensor theories a là Brans–Dicke. We identify the most general transformation preserving second-order field equations and discuss the issue of viable frames for this kind of theory, in particular, the ... WebDec 3, 2014 · Indeed, one can always set to unity the speed of propagation of gravitational waves during inflation by a suitable disformal transformation of the metric, while a conformal one can make the Planck mass time independent. Therefore, the tensor amplitude unambiguously fixes the energy scale of inflation.

WebMay 11, 2015 · The disformal transformation of the metric is just a generalized change of units, thus this operation on the field variable of the theory does not introduce any new … Webdisformal transformation; 98.80−k; 04.50.Kd; Modified theories of gravity; General Relativity and Quantum Cosmology; Astrophysics - Cosmology and Nongalactic Astrophysics; High Energy Physics - Theory E-Print: 17 pages, one table, added appendix B for the full expression for the transformed hatted X, Y, and Z

WebSep 1, 2014 · Disformal transformations, veiled General Relativity and Mimetic Gravity. Nathalie Deruelle 1 and Josephine Rua 2. Published 1 September 2014 • © 2014 IOP …

WebApr 11, 2024 · Two-field mimetic gravity was recently realized by looking at the singular limit of the conformal transformation between the auxiliary metric and the physical metric with two scalar fields involved. In this paper, we reanalyze the singular conformal limit and find a more general solution for the conformal factor A, which greatly broadens the form of two … control old growth type bWebApr 21, 2024 · We start by defining the action of a disformal transformation in the tangent space. Then, we take advantage of the great economy of means of the language of differential forms to compute the full transformation of Horndeski’s theory under general disformal transformations. contrology physical therapy east greenwich riWebFeb 13, 2024 · We study thermodynamics in f ( R ) gravity with the disformal transformation. The transformation applied to the matter Lagrangian has the form of γ μ ν = A ( ϕ , X ) g μ ν + B ( ϕ , X ) ∂ μ ϕ ∂ ν ϕ with the assumption of the Minkowski matter metric γ μ ν = η μ ν , where ϕ is the disformal scalar and Xis the corresponding kinetic term of ϕ . fall leaf wine stopperWebDec 16, 2024 · Disformal transformations have been considered by Bekenstein as a deformation of the metric tensor that defines a gravitational theory supplied by … fall leaf wallpaper iphoneWebOct 25, 2024 · In this paper, we demonstrate that indeed it is possible to construct a geometry that is intrinsically invariant under a conformal transformation of the metric, with a gauge invariant connection for an arbitrary non … fall leaf window clingsWebreversible disformal transformation, which can be solved in closed form, we derive the general solution in the Jordan frame and show that it does not contain black holes. There is a wormhole branch and a naked singularity branch between which lies a non-singular asymptotically at solution with kernel M 1;1 S2. This theory strongly violates the null fall leaf with heartWebNoun. ( en noun ) The act of transforming or the state of being transformed. A marked change in appearance or character, especially one for the better. (mathematics) The … fall leaf wine stopper favor