Y. S. Solanke, T. D. Nakade, D. D. Pawar, V. J. Dagwal
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To determine the solution of the field equation, we have assumed that scalar expansion <span><math altimg=\"eq-00003.gif\" display=\"inline\"><mi>θ</mi></math></span><span></span> is proportional to shear scalar <span><math altimg=\"eq-00004.gif\" display=\"inline\"><msup><mrow><mi>σ</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span><span></span> which leads to <span><math altimg=\"eq-00005.gif\" display=\"inline\"><mi>R</mi><mo>=</mo><msup><mrow><mi>A</mi></mrow><mrow><mi>m</mi></mrow></msup></math></span><span></span>, where <i>R</i> and <i>A</i> are metric potentials and <i>m</i> is constant. The cosmological parameters are investigated with the help of the equation of state strange-quark-matter (SQM) is <span><math altimg=\"eq-00006.gif\" display=\"inline\"><mi>p</mi><mo>=</mo><mfrac><mrow><mi>ρ</mi><mo>−</mo><mn>4</mn><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow><mrow><mn>3</mn></mrow></mfrac></math></span><span></span>, where <span><math altimg=\"eq-00007.gif\" display=\"inline\"><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span><span></span> is Bag constant. We have concentrated on the distances of cosmology such as the look-back time, proper distance, luminosity distance, angular-diameter distance and distance modulus which are presented graphically by using suitable data of <span><math altimg=\"eq-00008.gif\" display=\"inline\"><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span><span></span>. The physical and geometrical properties of models are also discussed.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"50 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kaluza–Klein cosmological model with strange-quark-matter in f(R,T) theory of gravity\",\"authors\":\"Y. S. Solanke, T. D. Nakade, D. D. Pawar, V. J. Dagwal\",\"doi\":\"10.1142/s0217732324500561\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This work deals with the Kaluza–Klein cosmological model with strange-quark-matter in <span><math altimg=\\\"eq-00002.gif\\\" display=\\\"inline\\\"><mi>f</mi><mo stretchy=\\\"false\\\">(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo stretchy=\\\"false\\\">)</mo></math></span><span></span> theory of gravity, where <i>R</i> is the Ricci scalar and <i>T</i> is the trace of the energy–momentum tensor. 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The cosmological parameters are investigated with the help of the equation of state strange-quark-matter (SQM) is <span><math altimg=\\\"eq-00006.gif\\\" display=\\\"inline\\\"><mi>p</mi><mo>=</mo><mfrac><mrow><mi>ρ</mi><mo>−</mo><mn>4</mn><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow><mrow><mn>3</mn></mrow></mfrac></math></span><span></span>, where <span><math altimg=\\\"eq-00007.gif\\\" display=\\\"inline\\\"><msub><mrow><mi>B</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span><span></span> is Bag constant. We have concentrated on the distances of cosmology such as the look-back time, proper distance, luminosity distance, angular-diameter distance and distance modulus which are presented graphically by using suitable data of <span><math altimg=\\\"eq-00008.gif\\\" display=\\\"inline\\\"><msub><mrow><mi>H</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span><span></span>. 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引用次数: 0
摘要
本研究涉及引力 f(R,T)理论中的奇异夸克物质的卡卢扎-克莱因宇宙学模型,其中 R 是利玛窦标量,T 是能动张量的迹。为了确定场方程的解,我们假定标量膨胀θ与剪切标量σ2成正比,从而得出 R=Am,其中 R 和 A 是度量势,m 是常数。借助奇异夸克物质(SQM)的状态方程 p=ρ-4Bc3(其中 Bc 是 Bag 常量)来研究宇宙学参数。我们集中研究了宇宙学中的距离,如回望时间、适当距离、光度距离、角直径距离和距离模量,并利用适当的 H0 数据以图表的形式展示出来。我们还讨论了模型的物理和几何特性。
Kaluza–Klein cosmological model with strange-quark-matter in f(R,T) theory of gravity
This work deals with the Kaluza–Klein cosmological model with strange-quark-matter in theory of gravity, where R is the Ricci scalar and T is the trace of the energy–momentum tensor. To determine the solution of the field equation, we have assumed that scalar expansion is proportional to shear scalar which leads to , where R and A are metric potentials and m is constant. The cosmological parameters are investigated with the help of the equation of state strange-quark-matter (SQM) is , where is Bag constant. We have concentrated on the distances of cosmology such as the look-back time, proper distance, luminosity distance, angular-diameter distance and distance modulus which are presented graphically by using suitable data of . The physical and geometrical properties of models are also discussed.
期刊介绍:
This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.