Abstract In this study, we used geometric distances at high redshifts (both luminosity and angular) to perform a cosmographic analysis with the Padé method, which stabilizes behaviour of series in redshift regime. However, our analyses, did not assume validity Cosmic Distance Duality Relation (CDDR), but allowed for potential violations, such as d L ( z ) = η )(1+ 2 A ), where three different functional forms are considered. By incorporating updated data from supernovae (SN), baryon acoustic...

In this Letter, we propose a new and model-independent cosmological test for the distance–duality (DD) relation, η = DL(z)(1 + z)−2/DA(z) 1, where DL DA are, respectively, luminosity angular diameter distances. For consider two sub-samples of Type Ia supernovae (SNe Ia) taken from Constitution data whereas distances are provided by samples galaxy clusters compiled De Filippis et al. Bonamente combining Sunyaev–Zeldovich effect X-ray surface brightness. The SNe redshifts each sub-sample were...

Testing the cosmic distance duality relation (CDDR) constitutes an important task for cosmology and fundamental physics since any violation of it would be a clear evidence new physics. In this paper, we propose test CDDR using only current measurements gas mass fraction galaxy clusters from Sunyaev-Zeldovich (fSZE) X-ray surface brightness (fX−ray) observations. We show that between fX−ray fSZE observations is given by = ηfX−ray, where η quantifies deviations CDDR. Since latter expression...

Observations in the cosmological domain are heavily dependent on validity of cosmic distance-duality (DD) relation, D_L(z) (1 + z)^{2}/D_{A}(z) = 1, an exact result required by Etherington reciprocity theorem where and D_A(z) are, respectively, luminosity angular diameter distances. In limit very small redshifts this ratio is trivially satisfied. Measurements Sunyaev-Zeldovich effect (SZE) X-rays combined with DD relation have been used to determine D_A(z)from galaxy clusters. This...

We use current measurements of the expansion rate $H(z)$ and cosmic background radiation bounds on spatial curvature Universe to impose cosmological model-independent constraints opacity. To perform our analyses, we compare opacity-free distance modulus from data with those two supernovae Ia compilations: Union2.1 plus most distant spectroscopically confirmed SNe (SNe SCP-0401 $z=1.713$) Sloan Digital Sky Survey (SDSS) subsamples. The influence different light-curve fitters (SALT2 MLCS2K2)...

Abstract In this work, we constrain the Hubble constant parameter, H 0 , using a combination of Pantheon sample and galaxy clusters (GC) measurements from minimal cosmological assumptions. Assuming validity cosmic distance duality relation, an estimator is created for that only depends on simple geometrical distances, which evaluated GC angular diameter afterward. The statistical systematic errors in are summed quadrature our analysis. We find = 67.22 ± 6.07 km s -1 Mpc 1 σ confidence level...

Abstract In this Letter, we discuss a new cosmological-model-independent test for the cosmic distance duality relation (CDDR), η=DL(L)(1 +z)−2/DA(z) = 1, where DA(z) and DL(z) are angular diameter luminosity distances, respectively. Using general expression X-ray gas mass fraction (fgas) of galaxy clusters, fgas∝DLDA1/2, show that fgas observations jointly with Type Ia supernovae (SNe Ia) data furnish validity CDDR. To perform our analysis, use 38 measurements recently studied by two groups...

The angular diameter distances toward galaxy clusters can be determined with measurements of the Sunyaev-Zel'dovich effect and X-ray surface brightness combined validity distance-duality relation, $D_L(z) (1 + z)^{2}/D_{A}(z) = 1$, where $D_L(z)$ $D_A(z)$ are, respectively, luminosity distances. This combination enables us to probe cluster physics or even test relation itself. We explore these possibilities based on two different, but complementary approaches. Firstly, in order constrain...

The cosmic distance duality relation is a milestone of cosmology involving the luminosity and angular diameter distances. Any departure points to new physics or systematic errors in observations, therefore tests are extremely important build consistent cosmological framework. Here, two proposed based on galaxy clusters observations (angular gas mass fraction) $H(z)$ measurements. By applying Gaussian Processes, non-parametric method, we able derive constraints departures where no evidence...

This paper aims to put constraints on the transition redshift $z_t$, which determines onset of cosmic acceleration, in cosmological-model independent frameworks. In order perform our analyses, we consider a flat universe and {assume} parametrization for comoving distance $D_C(z)$ up third degree $z$, second Hubble parameter $H(z)$ linear deceleration $q(z)$. For each case, show that {type Ia supernovae} data complement other {space} tighter constrains are obtained. By {combining} type...

The construction of the cosmic distance-duality relation (CDDR) has been widely studied. However, its consistency with various new observables remains a topic interest. We present way to constrain CDDR $\eta(z)$ using different dynamic and geometric properties strong gravitational lenses (SGL) along SNe Ia observations. use sample $102$ SGL measurement corresponding velocity dispersion $\sigma_0$ Einstein radius $\theta_E$. In addition, we also dataset $12$ two image lensing systems...

We propose and perform a new test of the cosmic distance-duality relation (CDDR), DL(z) / DA(z) (1 + z)2 = 1, where DA is angular diameter distance DL luminosity to given source at redshift z, using strong gravitational lensing (SGL) type Ia Supernovae (SNe Ia) data. show that ratio D=DA12/DA2 D*=DL12/DL2, subscripts 1 2 correspond, respectively, redshifts z1 z2, are linked by D/D*=(1+z1)2 if CDDR valid. allow departures from defining two functions for η(z1), which equals unity when find...

Probing the evolution of universe at high redshifts with standard candles is a powerful way to discriminate dark energy models, where an open question nowadays whether this component constant or evolves time. One possible source ambiguity in kind analyses comes from cosmic opacity, which can mimick enery behaviour. However, most tests opacity have been restricted redshift range $z<2$. In work, by using luminosity distances gamma-ray bursts (GRBs), {given validity Amati relation}, and latest...

The formal division of the distance indicators into primary and secondary leads to difficulties in description methods which can actually be used two ways: with, without support other for scaling. Thus instead concentrating on scaling requirement we concentrate all determination extragalactic sources are designated, at least formally, use individual sources. Among those, Supernovae Ia is clearly leader due its enormous success expansion rate Universe. However, new rapidly developing, there...

Measurements of strong gravitational lensing jointly with type Ia supernovae (SNe Ia) observations have been used to test the validity cosmic distance duality relation (CDDR), DL(z)/[(1+z)2DA(z)]=η=1, where DL(z) and DA(z) are luminosity angular diameter distances a given redshift z, respectively. However, several systems lie in interval 1.4 ⩽ z 3.6 i.e., beyond range current SNe compilations (z ≈ 1.50), which prevents this kind be fully explored. In paper, we circumvent problem by testing...

Abstract A Friedmann like cosmological model in Einstein–Cartan framework is studied when the torsion function assumed to be proportional a single $$\phi (t)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ϕ</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> coming just from spin vector contribution of ordinary matter. By analysing four different types written terms one, two and three free parameters, we found that with (t)=-...

Abstract In this paper, we implement a new method to test the invariance of speed light ( c ) as function redshift, by combining measurements galaxy cluster gas mass fraction, H z from cosmic chronometers, and Type-Ia supernovae (SNe Ia). our analyses, consider both constant depletion factor (which corresponds ratio which fraction is depleted with respect universal baryonic mean) one varying redshift. We also influence different 0 estimates on results. look for variation , given = (1+ 1 )....

Modifications of gravity generated by a multiplicative coupling scalar field to the electromagnetic Lagrangian lead breaking Einstein equivalence principle (EEPB), as well variations fundamental constants. In these theoretical frameworks, deviations standard values fine structure constant, $\mathrm{\ensuremath{\Delta}}\ensuremath{\alpha}/\ensuremath{\alpha}=\ensuremath{\phi}$, and cosmic distance duality relation, ${D}_{L}(1+z{)}^{\ensuremath{-}2}/{D}_{A}=\ensuremath{\eta}=1$, where...

As is well known, measurements of the Sunyaev-Zeldovich effect can be combined with observations X-ray surface brightness galaxy clusters to estimate angular diameter distance these structures. In this paper, we show that technique depends on fine structure constant, α. Therefore, if α a time-dependent quantity, e.g., = α0ϕ(z), where ϕ function redshift, argue current data do not provide real distance, DA(z), cluster, but instead DAdata(z) ϕ(z)2 DA(z). We use result derive constraints...

We propose a new method to probe possible time evolution of the fine structure constant $\alpha$ from X-ray and Sunyaev-Zeldovich measurements gas mass fraction ($f_{gas}$) in galaxy clusters. Taking into account direct relation between variations violations distance-duality relation, we discuss constraints on for class dilaton runaway models. Although not yet competitive with bounds high-$z$ quasar absorption systems, our constraints, considering sample 29 $f_{gas}$, redshift interval $0.14...

Nowadays, thanks to the improved precision of cosmological data, it has been possible search for deviation from general relativity theory with tests on large cosmic scales. Particularly, there is a class modified gravity theories that breaks Einstein equivalence principle (EEP) in electromagnetic sector, generating variations fine structure constant, violations distance duality relation and evolution law microwave background (CMB) radiation. In recent papers, this tested angular diameter...

Galaxy clusters have been used as a cosmic laboratory to verify possible time variation of fundamental constants. Particularly, it has shown that the ratio YSZDA2/CXZSYX , which is expected be constant with redshift, can probe fine structure constant, α. In this ratio, YSZDA2 integrated comptonization parameter galaxy cluster obtained via Sunyaev-Zel'dovich (SZ) effect observations multiplied by its angular diameter distance, DA, YX X-ray counterpart and CXSZ an arbitrary constant. Using...

In this letter, we implement a test of the standard law for dark matter density evolution. For purpose, only flat universe and validity FRW metric are assumed. A deformed evolution is considered, given by $\rho_c(z) \propto (1+z)^{3+\epsilon}$, constraints on $\epsilon$ obtained using galaxy cluster gas mass fractions, cosmic chronometers measurements. We find that $\epsilon =0$ within 2$\sigma$ c.l., in full agreement with other recent analyses.