https://doi.org/10.1140/epjc/s10052-023-11596-7
Regular Article - Theoretical Physics
Constraining über gravity with recent observations and studying the 
problem
1
Grupo de Física Teórica, Facultad de Ciencias Físicas, Universidad Nacional Mayor de San Marcos, Ciudad Universitaria, 15081, Cercado de Lima, Peru
2
Facultad de Ciencias Naturales, Universidad Nacional de San Agustín, 04000, Arequipa, Peru
3
Depto. de Física y Matemáticas, Universidad Iberoamericana Ciudad de México, Prolongación Paseo de la Reforma 880, 01219, Mexico, DF, Mexico
4
Facultad de Ingeniería, Universidad Autónoma de Querétaro, Centro Universitario Cerro de las Campanas, 76010, Santiago de Querétaro, Mexico
5
Instituto de Física y Astronomía, Universidad de Valparaíso, Avda. Gran Bretaña 1111, Valparaiso, Chile
a
gustavo.concha1@unmsm.edu.pe
Received:
17
January
2023
Accepted:
7
May
2023
Published online:
26
May
2023
This paper studies both 
CDM and CDM models under the über gravity theory, named üCDM 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 
and 
at 68% confidence level for üCDM and üCDM respectively. Although über gravity can successfully mimics the cosmological constant, we find that the 
diagnostic suggests the tension is not alleviated. Finally, both models are statistically compared with CDM through the Akaike and Bayesian information criteria. Both über gravity models and CDM are equally preferred for most of the single samples, in particular, üCDM is not rejected by the CMB data. However, there is strong evidence against them for the joint analysis.
© The Author(s) 2023
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Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
