Disformal transformation

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August undefined, 2024

WebMar 29, 2024 · In particular, we study if cosmological observables such as the galaxy number counts and weak lensing observables are invariant under the disformal transformations. In a previous work, it was... 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,...

Induced geometry from disformal transformation

WebWe investigate the cosmological background evolution and perturbations in a general class of spatially covariant theories of gravity, which propagates two tensor modes and one … 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 minecraft star wars builds

Disformal transformations, veiled General Relativity and …

WebMar 29, 2024 · I want to define two metrics with the disformal transformation relation g ¯ μ ν = A ( ϕ) g μ ν + B ( ϕ) ∇ μ ϕ ∇ μ ϕ, where g μ ν is the first metric, g ¯ μ ν is the second metric, ϕ is a scalar field and ∇ μ is the covariant derivative, μ and ν are both abstract indices. For the simpler conformal transformation relation g ¯ μ ν = A ( ϕ) g μ ν, 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. 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 … mortgage loan officer bank of america

Transformation of primordial cosmological perturbations under the ...

Invertible disformal transformations with higher derivatives

WebJul 8, 2024 · Figure 5: Deformable convolution using a kernel size of 3 and learned sampling matrix. Instead of using the fixed sampling matrix with fixed offsets, as in standard … 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 ... mortgage loan officer classes online own paceWebApr 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. mortgage loan officer boise

"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... " - Disformal transformation

Disformal transformation

Field redefinitions in theories beyond Einstein gravity using the ...

WebDisplacive transformation: Rearrangement of atoms from one crystal structure to another structure without a change in the density (or volume) of the material. Electron valence … 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 …

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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... WebFeb 1, 2024 · We show that the effective theory describing single component continuous media with a linear and constant equation of state of the form p = w ρ is invariant under a 1-parameter family of continuous disformal transformations. In the special case of w =1/3 (ultrarelativistic gas), such a family reduces to conformal transformations.

Web1. Transformation of objects can be used to define the concepts of congruence and similarities. 2. Coordinate geometry can be a useful tool for understanding geometric … WebAug 23, 2024 · The Klein-Gordon equation, one of the most fundamental equations in field theory, is known to be not invariant under conformal transformation. However, its massless limit exhibits symmetry under Bekenstein's disformal transformation, subject to some conditions on the disformal part of the metric variation. In this study, we explore the …

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 … WebFeb 4, 2016 · We show that the structure of the theory is preserved under the disformal transformation. We also evaluate the primordial spectra for both the gravitational waves …

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.

WebNov 25, 2024 · A disformal transformation involving the first derivative of a scalar field is a natural extension of a conformal transformation . The next natural question is … mortgage loan officer background checkWebDec 7, 2024 · Fear of inadequacy, underperformance, discipline, job displacement, and other types of fears can result in changes to behavior. A lack of skills. A lack of … minecraft star wars clone warsWebMar 2, 2024 · Mimetic gravity is a Weyl-symmetric extension of General Relativity, related to the latter by a singular disformal transformation, wherein the appearance of a dust-like perfect fluid can mimic cold dark matter at a cosmological level. Within this framework, it is possible to provide a unified geometrical explanation for dark matter, the late-time … minecraft star wars at-at modWebMay 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 mortgage loan officer commissionWebDec 4, 2024 · The disformal transformation maps a solution in a class of the scalar-tensor or vector-tensor theories to that in another class, and hence it can be a useful tool to … mortgage loan officer compensation lawsWebJun 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 … mortgage loan officer bardonia ny mortgage loan office near me