Hyperbolically symmetric sources in Palatini f(R) gravity

Abstract A thorough examination of static hyperbolically symmetric matter configuration in the context of Palatini f(R) gravitational theory has been carried out in this manuscript. Following the work of Herrera et al. (Phys. Rev. D 103: 024037, 2021) we worked out the modified gravitational equatio...

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Autores principales: M. Z. Bhatti, Z. Yousaf, Z. Tariq
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Lenguaje:EN
Publicado: SpringerOpen 2021
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spelling oai:doaj.org-article:4c0c90110ad14a8292d05d49a6ecfa002021-12-05T12:09:15ZHyperbolically symmetric sources in Palatini f(R) gravity10.1140/epjc/s10052-021-09796-01434-60441434-6052https://doaj.org/article/4c0c90110ad14a8292d05d49a6ecfa002021-12-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09796-0https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract A thorough examination of static hyperbolically symmetric matter configuration in the context of Palatini f(R) gravitational theory has been carried out in this manuscript. Following the work of Herrera et al. (Phys. Rev. D 103: 024037, 2021) we worked out the modified gravitational equations and matching conditions using the Palatini technique of variation in Einstein–Hilbert action. It is found from the evaluations that the energy density along with the contribution of dark source terms is inevitably negative which is quite useful in explaining several quantum field effects, because negative energies are closely linked with the quantum field theory. Such negative energies may also assist in time-travel to the past and formation of artificial wormholes. Furthermore, we evaluated the algebraic expressions for the mass of interior hyperbolical geometry and total energy budget, i.e., the Tolman mass of the considered source. Also, the structure scalars are evaluated to analyze the properties of matter configuration. Few analytical techniques are also presented by considering several cases to exhibit the exact analytical static solutions of the modified gravitational equations.M. Z. BhattiZ. YousafZ. TariqSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 12, Pp 1-13 (2021)
institution DOAJ
collection DOAJ
language EN
topic Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
M. Z. Bhatti
Z. Yousaf
Z. Tariq
Hyperbolically symmetric sources in Palatini f(R) gravity
description Abstract A thorough examination of static hyperbolically symmetric matter configuration in the context of Palatini f(R) gravitational theory has been carried out in this manuscript. Following the work of Herrera et al. (Phys. Rev. D 103: 024037, 2021) we worked out the modified gravitational equations and matching conditions using the Palatini technique of variation in Einstein–Hilbert action. It is found from the evaluations that the energy density along with the contribution of dark source terms is inevitably negative which is quite useful in explaining several quantum field effects, because negative energies are closely linked with the quantum field theory. Such negative energies may also assist in time-travel to the past and formation of artificial wormholes. Furthermore, we evaluated the algebraic expressions for the mass of interior hyperbolical geometry and total energy budget, i.e., the Tolman mass of the considered source. Also, the structure scalars are evaluated to analyze the properties of matter configuration. Few analytical techniques are also presented by considering several cases to exhibit the exact analytical static solutions of the modified gravitational equations.
format article
author M. Z. Bhatti
Z. Yousaf
Z. Tariq
author_facet M. Z. Bhatti
Z. Yousaf
Z. Tariq
author_sort M. Z. Bhatti
title Hyperbolically symmetric sources in Palatini f(R) gravity
title_short Hyperbolically symmetric sources in Palatini f(R) gravity
title_full Hyperbolically symmetric sources in Palatini f(R) gravity
title_fullStr Hyperbolically symmetric sources in Palatini f(R) gravity
title_full_unstemmed Hyperbolically symmetric sources in Palatini f(R) gravity
title_sort hyperbolically symmetric sources in palatini f(r) gravity
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/4c0c90110ad14a8292d05d49a6ecfa00
work_keys_str_mv AT mzbhatti hyperbolicallysymmetricsourcesinpalatinifrgravity
AT zyousaf hyperbolicallysymmetricsourcesinpalatinifrgravity
AT ztariq hyperbolicallysymmetricsourcesinpalatinifrgravity
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