{"title":"非重合形式主义中 f(Q) 引力模型的宇宙学约束","authors":"Sneha Pradhan, Raja Solanki, P.K. Sahoo","doi":"10.1016/j.jheap.2024.08.002","DOIUrl":null,"url":null,"abstract":"<div><p>The article investigates cosmological applications of <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> theories in a non-coincident formalism. We explore a new <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> theory dynamics utilizing a non-vanishing affine connection involving a non-constant function <span><math><mi>γ</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mo>−</mo><msup><mrow><mi>a</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup><mover><mrow><mi>H</mi></mrow><mrow><mo>˙</mo></mrow></mover></math></span>, resulting in Friedmann equations that are entirely distinct from those of <span><math><mi>f</mi><mo>(</mo><mi>T</mi><mo>)</mo></math></span> theory. In addition, we propose a new parameterization of the Hubble function that can consistently depicts the present deceleration parameter value, transition redshift, and the late time de-Sitter limit. We evaluate the predictions of the assumed Hubble function by imposing constraints on the free parameters utilizing Bayesian statistical analysis to estimate the posterior probability by employing the CC, Pantheon+SH0ES, and the BAO samples. Moreover, we conduct the AIC and BIC statistical evaluations to determine the reliability of MCMC analysis. Further, we consider some well-known corrections to the STEGR case such as an exponentital <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> correction, logarithmic <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> correction, and a power-law <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> correction and then we find the constraints on the parameters of these models via energy conditions. Finally, to test the physical plausibility of the assumed <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> models we conduct the thermodynamical stability analysis via the sound speed parameter.</p></div>","PeriodicalId":54265,"journal":{"name":"Journal of High Energy Astrophysics","volume":"43 ","pages":"Pages 258-267"},"PeriodicalIF":10.2000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cosmological constraints on f(Q) gravity models in the non-coincident formalism\",\"authors\":\"Sneha Pradhan, Raja Solanki, P.K. Sahoo\",\"doi\":\"10.1016/j.jheap.2024.08.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The article investigates cosmological applications of <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> theories in a non-coincident formalism. We explore a new <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> theory dynamics utilizing a non-vanishing affine connection involving a non-constant function <span><math><mi>γ</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mo>−</mo><msup><mrow><mi>a</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup><mover><mrow><mi>H</mi></mrow><mrow><mo>˙</mo></mrow></mover></math></span>, resulting in Friedmann equations that are entirely distinct from those of <span><math><mi>f</mi><mo>(</mo><mi>T</mi><mo>)</mo></math></span> theory. In addition, we propose a new parameterization of the Hubble function that can consistently depicts the present deceleration parameter value, transition redshift, and the late time de-Sitter limit. We evaluate the predictions of the assumed Hubble function by imposing constraints on the free parameters utilizing Bayesian statistical analysis to estimate the posterior probability by employing the CC, Pantheon+SH0ES, and the BAO samples. Moreover, we conduct the AIC and BIC statistical evaluations to determine the reliability of MCMC analysis. Further, we consider some well-known corrections to the STEGR case such as an exponentital <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> correction, logarithmic <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> correction, and a power-law <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> correction and then we find the constraints on the parameters of these models via energy conditions. Finally, to test the physical plausibility of the assumed <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></math></span> models we conduct the thermodynamical stability analysis via the sound speed parameter.</p></div>\",\"PeriodicalId\":54265,\"journal\":{\"name\":\"Journal of High Energy Astrophysics\",\"volume\":\"43 \",\"pages\":\"Pages 258-267\"},\"PeriodicalIF\":10.2000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of High Energy Astrophysics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2214404824000703\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Astrophysics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2214404824000703","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
Cosmological constraints on f(Q) gravity models in the non-coincident formalism
The article investigates cosmological applications of theories in a non-coincident formalism. We explore a new theory dynamics utilizing a non-vanishing affine connection involving a non-constant function , resulting in Friedmann equations that are entirely distinct from those of theory. In addition, we propose a new parameterization of the Hubble function that can consistently depicts the present deceleration parameter value, transition redshift, and the late time de-Sitter limit. We evaluate the predictions of the assumed Hubble function by imposing constraints on the free parameters utilizing Bayesian statistical analysis to estimate the posterior probability by employing the CC, Pantheon+SH0ES, and the BAO samples. Moreover, we conduct the AIC and BIC statistical evaluations to determine the reliability of MCMC analysis. Further, we consider some well-known corrections to the STEGR case such as an exponentital correction, logarithmic correction, and a power-law correction and then we find the constraints on the parameters of these models via energy conditions. Finally, to test the physical plausibility of the assumed models we conduct the thermodynamical stability analysis via the sound speed parameter.
期刊介绍:
The journal welcomes manuscripts on theoretical models, simulations, and observations of highly energetic astrophysical objects both in our Galaxy and beyond. Among those, black holes at all scales, neutron stars, pulsars and their nebula, binaries, novae and supernovae, their remnants, active galaxies, and clusters are just a few examples. The journal will consider research across the whole electromagnetic spectrum, as well as research using various messengers, such as gravitational waves or neutrinos. Effects of high-energy phenomena on cosmology and star-formation, results from dedicated surveys expanding the knowledge of extreme environments, and astrophysical implications of dark matter are also welcomed topics.