Comparing mathematical modeling approaches for compact objects: vanishing complexity and embedding class one approaches in spherically symmetric systems with static background
Abstract This study delves into the realm of solving Einstein’s field equations within the framework of general relativity. In this paper, we present an exact solution derived through the vanishing complexity approach and offer a comparative analysis with the established embedding class one approach...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12035-3 |
| _version_ | 1797647207986364416 |
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| author | Satyanarayana Gedela Ravindra K. Bisht |
| author_facet | Satyanarayana Gedela Ravindra K. Bisht |
| author_sort | Satyanarayana Gedela |
| collection | DOAJ |
| description | Abstract This study delves into the realm of solving Einstein’s field equations within the framework of general relativity. In this paper, we present an exact solution derived through the vanishing complexity approach and offer a comparative analysis with the established embedding class one approach. This exploration sheds light on the efficacy and validity of these methods in generating solutions for Einstein’s field equations. Our study involves a comprehensive exploration of several key parameters, encompassing thermodynamic factors, causality conditions, stability evaluations, as well as analyses of the mass function. Based on our findings, it can be suggested that the vanishing complexity approach could serve as a viable alternative method to the embedding class one approach for the derivation of exact solutions of Einstein’s field equations. |
| first_indexed | 2024-03-11T15:13:58Z |
| format | Article |
| id | doaj.art-9760b63684524e91b1b850d160cff536 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-11T15:13:58Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-9760b63684524e91b1b850d160cff5362023-10-29T12:34:04ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-09-0183911210.1140/epjc/s10052-023-12035-3Comparing mathematical modeling approaches for compact objects: vanishing complexity and embedding class one approaches in spherically symmetric systems with static backgroundSatyanarayana Gedela0Ravindra K. Bisht1Department of Mathematics, National Defence AcademyDepartment of Mathematics, National Defence AcademyAbstract This study delves into the realm of solving Einstein’s field equations within the framework of general relativity. In this paper, we present an exact solution derived through the vanishing complexity approach and offer a comparative analysis with the established embedding class one approach. This exploration sheds light on the efficacy and validity of these methods in generating solutions for Einstein’s field equations. Our study involves a comprehensive exploration of several key parameters, encompassing thermodynamic factors, causality conditions, stability evaluations, as well as analyses of the mass function. Based on our findings, it can be suggested that the vanishing complexity approach could serve as a viable alternative method to the embedding class one approach for the derivation of exact solutions of Einstein’s field equations.https://doi.org/10.1140/epjc/s10052-023-12035-3 |
| spellingShingle | Satyanarayana Gedela Ravindra K. Bisht Comparing mathematical modeling approaches for compact objects: vanishing complexity and embedding class one approaches in spherically symmetric systems with static background European Physical Journal C: Particles and Fields |
| title | Comparing mathematical modeling approaches for compact objects: vanishing complexity and embedding class one approaches in spherically symmetric systems with static background |
| title_full | Comparing mathematical modeling approaches for compact objects: vanishing complexity and embedding class one approaches in spherically symmetric systems with static background |
| title_fullStr | Comparing mathematical modeling approaches for compact objects: vanishing complexity and embedding class one approaches in spherically symmetric systems with static background |
| title_full_unstemmed | Comparing mathematical modeling approaches for compact objects: vanishing complexity and embedding class one approaches in spherically symmetric systems with static background |
| title_short | Comparing mathematical modeling approaches for compact objects: vanishing complexity and embedding class one approaches in spherically symmetric systems with static background |
| title_sort | comparing mathematical modeling approaches for compact objects vanishing complexity and embedding class one approaches in spherically symmetric systems with static background |
| url | https://doi.org/10.1140/epjc/s10052-023-12035-3 |
| work_keys_str_mv | AT satyanarayanagedela comparingmathematicalmodelingapproachesforcompactobjectsvanishingcomplexityandembeddingclassoneapproachesinsphericallysymmetricsystemswithstaticbackground AT ravindrakbisht comparingmathematicalmodelingapproachesforcompactobjectsvanishingcomplexityandembeddingclassoneapproachesinsphericallysymmetricsystemswithstaticbackground |