Constraining über gravity with recent observations and studying the $$H_0$$ H 0 problem

Gustavo Valdez (Grupo de Física Teórica, Facultad de Ciencias Físicas, Universidad Nacional Mayor de San Marcos, Ciudad Universitaria, Cercado de Lima, 15081, Peru) ; Claudia Quintanilla (Facultad de Ciencias Naturales, Universidad Nacional de San Agustín, Arequipa, 04000, Peru) ; Miguel García-Aspeitia (Depto. de Física y Matemáticas, Universidad Iberoamericana Ciudad de México, Prolongación Paseo de la Reforma 880, Mexico, DF, 01219, Mexico) ; A. Hernández-Almada (Facultad de Ingeniería, Universidad Autónoma de Querétaro, Centro Universitario Cerro de las Campanas, Santiago de Querétaro, 76010, Mexico) ; V. Motta (Instituto de Física y Astronomía, Universidad de Valparaíso, Valparaiso, Avda. Gran Bretaña 1111, Chile)

This paper studies both $$\Lambda $$ Λ CDM and CDM models under the über gravity theory, named ü $$\Lambda $$ Λ CDM and üCDM respectively. We report bounds over their parameter phase-space using several cosmological data, in particular, the recent Pantheon+ sample. Based on the joint analysis, the best fit value of the über characteristic parameter is $$z_\oplus = 0.046^{+0.047}_{-0.032}$$ z = 0 . 046 - 0.032 + 0.047 and $$z_\oplus = 1.382^{+0.020}_{-0.021}$$ z = 1 . 382 - 0.021 + 0.020 at 68% confidence level for ü $$\Lambda $$ Λ CDM and üCDM respectively. Although über gravity can successfully mimics the cosmological constant, we find that the $$\mathbb {H}0(z)$$ H 0 ( z ) diagnostic suggests the $$H_0$$ H 0 tension is not alleviated. Finally, both models are statistically compared with $$\Lambda $$ Λ CDM through the Akaike and Bayesian information criteria. Both über gravity models and $$\Lambda $$ Λ CDM are equally preferred for most of the single samples, in particular, ü $$\Lambda $$ Λ CDM is not rejected by the CMB data. However, there is strong evidence against them for the joint analysis.

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      "title": "Constraining \u00fcber gravity with recent observations and studying the  $$H_0$$  <math> <msub> <mi>H</mi> <mn>0</mn> </msub> </math>   problem"
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      "source": "Springer", 
      "value": "This paper studies both  $$\\Lambda $$  <math> <mi>\u039b</mi> </math>  CDM and CDM models under the \u00fcber gravity theory, named \u00fc $$\\Lambda $$  <math> <mi>\u039b</mi> </math>  CDM and \u00fcCDM respectively. We report bounds over their parameter phase-space using several cosmological data, in particular, the recent Pantheon+ sample. Based on the joint analysis, the best fit value of the \u00fcber characteristic parameter is  $$z_\\oplus = 0.046^{+0.047}_{-0.032}$$  <math> <mrow> <msub> <mi>z</mi> <mo>\u2295</mo> </msub> <mo>=</mo> <mn>0</mn> <mo>.</mo> <msubsup> <mn>046</mn> <mrow> <mo>-</mo> <mn>0.032</mn> </mrow> <mrow> <mo>+</mo> <mn>0.047</mn> </mrow> </msubsup> </mrow> </math>   and  $$z_\\oplus = 1.382^{+0.020}_{-0.021}$$  <math> <mrow> <msub> <mi>z</mi> <mo>\u2295</mo> </msub> <mo>=</mo> <mn>1</mn> <mo>.</mo> <msubsup> <mn>382</mn> <mrow> <mo>-</mo> <mn>0.021</mn> </mrow> <mrow> <mo>+</mo> <mn>0.020</mn> </mrow> </msubsup> </mrow> </math>   at 68% confidence level for \u00fc $$\\Lambda $$  <math> <mi>\u039b</mi> </math>  CDM and \u00fcCDM respectively. Although \u00fcber gravity can successfully mimics the cosmological constant, we find that the  $$\\mathbb {H}0(z)$$  <math> <mrow> <mi>H</mi> <mn>0</mn> <mo>(</mo> <mi>z</mi> <mo>)</mo> </mrow> </math>   diagnostic suggests the  $$H_0$$  <math> <msub> <mi>H</mi> <mn>0</mn> </msub> </math>   tension is not alleviated. Finally, both models are statistically compared with  $$\\Lambda $$  <math> <mi>\u039b</mi> </math>  CDM through the Akaike and Bayesian information criteria. Both \u00fcber gravity models and  $$\\Lambda $$  <math> <mi>\u039b</mi> </math>  CDM are equally preferred for most of the single samples, in particular, \u00fc $$\\Lambda $$  <math> <mi>\u039b</mi> </math>  CDM is not rejected by the CMB data. However, there is strong evidence against them for the joint analysis."
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Published on:
26 May 2023
Publisher:
Springer
Published in:
European Physical Journal C , Volume 83 (2023)
Issue 5
Pages 1-10
DOI:
https://doi.org/10.1140/epjc/s10052-023-11596-7
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: