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The linear increase of the cosmic microwave background (CMB) temperature with cosmological redshift, $T_{\rm CMB} = T_0(1 + z)$, is a prediction of the standard cosmological $\Lambda$CDM model. There are currently two methods to measure…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-15 V. V. Klimenko , A. V. Ivanchik , P. Petitjean , P. Noterdaeme , R. Srianand

In the standard hot cosmological model, the black-body temperature of the Cosmic Microwave Background (CMB), $T_{\rm CMB}$, increases linearly with redshift. Across the line of sight CMB photons interact with the hot ($\sim10^{7-8}$ K) and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 G. Hurier , N. Aghanim , M. Douspis , E. Pointecouteau

The relationship between the cosmic microwave background radiation temperature and the redshift, i.e., the $T$--$z$ relation, is examined in a phenomenological dissipative model. The model contains two constant terms, as if a nonzero…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-10 Nobuyoshi Komatsu , Shigeo Kimura

We discuss the thermodynamic and dynamical properties of a variable dark energy model with density scaling as $\rho_x \propto (1+z)^{m}$, z being the redshift. These models lead to the creation/disruption of matter and radiation, which…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Philippe Jetzer , Crescenzo Tortora

The relation between redshift and the CMB temperature, $T_{CMB}(z)=T_0(1+z)$ is a key prediction of standard cosmology, but is violated in many non-standard models. Constraining possible deviations to this law is an effective way to test…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 A. Avgoustidis , G. Luzzi , C. J. A. P. Martins , A. M. R. V. L. Monteiro

The thermodynamic and dynamical properties of a variable dark energy model with density scaling as rho_x \propto (1+z)^m, z being the redshift, are discussed following the outline of Jetzer et al. This kind of models are proven to lead to…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-08 Philippe Jetzer , Crescenzo Tortora

We discuss the possibility to constrain the relation between redshift and temperature of the cosmic microwave background (CMB) using multifrequency Sunyaev-Zeldovich (SZ) observations. We have simulated a catalog of clusters of galaxies…

Astrophysics · Physics 2009-11-11 Cathy Horellou , Martin Nord , Daniel Johansson , Anna Levy

In this work, we perform a statistical inference of the classical background law governing the evolution of the temperature of the cosmic microwave background radiation (CMB), given by $T_{\rm CMB}(z) = T_0(1 + z)$. To this end, we employ…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-02 Felipe Avila , Alexander Bonilla Rivera , Rafael C. Nunes , R. F. L. Holanda , Armando Bernui

We present a model independent and non-parametric reconstruction with a Machine Learning algorithm of the redshift evolution of the Cosmic Microwave Background (CMB) temperature from a wide redshift range $z\in \left[0,3\right]$ without…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-04 Rubén Arjona

A milestone of modern cosmology was the prediction and serendipitous discovery of the Cosmic Microwave Background (CMB), the radiation left over after decoupling from matter in the early evolutionary stages of the Universe. A prediction of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 P. Noterdaeme , P. Petitjean , R. Srianand , C. Ledoux , S. Lopez

We have deduced the cosmic microwave background (CMB) temperature in the Coma cluster (A1656, $z=0.0231$), and in A2163 ($z=0.203$) from spectral measurements of the Sunyaev-Zel'dovich (SZ) effect over four passbands at radio and microwave…

Based on energy conservation in a Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe, on the Legendre transformation between energy density and pressure, and on nonperturbative asymptotic freedom at high temperatures we derive the…

General Physics · Physics 2018-03-14 Steffen Hahn , Ralf Hofmann

We have determined the CMB temperature, $T(z)$, at redshifts in the range 0.023-0.546, from multi-frequency measurements of the S-Z effect towards 13 clusters. We extract the parameter $\alpha$ in the redshift scaling…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 G. Luzzi , M. Shimon , L. Lamagna , Y. Rephaeli , M. De Petris , A. Conte , S. De Gregori , E. S. Battistelli

According to the Big Bang theory and as a consequence of adiabatic expansion of the Universe, the temperature of the cosmic microwave background (CMB) increases linearly with redshift. This relation is, however, poorly explored, and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 S. Muller , A. Beelen , J. H. Black , S. J. Curran , C. Horellou , S. Aalto , F. Combes , M. Guelin , C. Henkel

We investigate potential deviations from the standard adiabatic evolution of the cosmic microwave background (CMB) temperature, $T_{\rm CMB}(z)$, using the latest Sunyaev-Zeldovich (SZ) effect measurements and molecular line excitation…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-02 Ruchika , William Giarè , Elsa M. Teixeira , Alessandro Melchiorri

In the expanding Universe, the average temperature of the cosmic microwave background (CMB) is expected to depend like TCMB~(1+z) on redshift z. Adiabatic photon production (or destruction) or deviations from isotropy and homogeneity could…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Jens Chluba

The Sunyaev-Zel'dovich (SZ) effect introduces a specific distortion of the blackbody spectrum of the cosmic microwave background (CMB) radiation when it scatters off hot gas in clusters of galaxies. The frequency dependence of the…

The redshift dependence of the cosmic microwave background temperature, $T(z)=T_0(1+z)$, is a key prediction of standard cosmology, but this relation is violated in many extensions thereof. Current astrophysical facilities can probe it in…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-09 C. J. A. P. Martins , A. M. M. Vieira

The Cosmic Microwave Background radiation is a fundamental prediction of Hot Big Bang cosmology. The temperature of its black-body spectrum has been measured at the present time, $T_{\rm CMBR,0}$ = 2.726$\pm$ 0.010 K, and is predicted to…

Astrophysics · Physics 2016-03-23 R. Srianand , Patrick Petitjean , Cedric Ledoux

Accurate computations of spectral distortions of the cosmic microwave background (CMB) are required for constraining energy release scenarios at redshifts $z\gtrsim 10^3$. The existing literature focuses on distortions that are small…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-17 Sandeep Kumar Acharya , Jens Chluba
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