A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition
Abstract A new solution satisfying the Karmarkar condition is presented here. We were first to have discovered a hypergeometric function metric potential representing embedding class I spacetime. This new solution yields finite values of metric potentials, density, pressure, redshift, etc. and hence...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-5149-2 |
| _version_ | 1818940645109137408 |
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| author | Piyali Bhar Ksh. Newton Singh Nayan Sarkar Farook Rahaman |
| author_facet | Piyali Bhar Ksh. Newton Singh Nayan Sarkar Farook Rahaman |
| author_sort | Piyali Bhar |
| collection | DOAJ |
| description | Abstract A new solution satisfying the Karmarkar condition is presented here. We were first to have discovered a hypergeometric function metric potential representing embedding class I spacetime. This new solution yields finite values of metric potentials, density, pressure, redshift, etc. and hence a non-singular solution. The solution is well behaved with respect to the parameter $$n=12$$ n = 12 to $$n=24$$ n = 24 corresponding to a stable configuration of mass $$2.01M_\odot $$ 2.01 M ⊙ and radius 9.1 km. The internal properties of the solution are very different for $$n=12$$ n = 12 to $$n=24$$ n = 24 ; however, the total mass and radius is independent of the parameter n. The energy conditions are also holds good by the solution which thus can represent a physically viable matter distribution. The equilibrium condition and stability are also discussed through TOV-equation, cracking method and $$\Gamma >4/3$$ Γ > 4 / 3 . The static stability criterion is also well satisfied and the turning point corresponds to $$4.46M_\odot $$ 4.46 M ⊙ for a radius of 9.1 km. |
| first_indexed | 2024-12-20T06:42:56Z |
| format | Article |
| id | doaj.art-59b64cbbd18944aaae8c96f65889b475 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-20T06:42:56Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-59b64cbbd18944aaae8c96f65889b4752022-12-21T19:49:48ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-09-0177911010.1140/epjc/s10052-017-5149-2A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar conditionPiyali Bhar0Ksh. Newton Singh1Nayan Sarkar2Farook Rahaman3Department of Mathematics, Government General Degree CollegeDepartment of Physics, National Defence AcademyDepartment of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityAbstract A new solution satisfying the Karmarkar condition is presented here. We were first to have discovered a hypergeometric function metric potential representing embedding class I spacetime. This new solution yields finite values of metric potentials, density, pressure, redshift, etc. and hence a non-singular solution. The solution is well behaved with respect to the parameter $$n=12$$ n = 12 to $$n=24$$ n = 24 corresponding to a stable configuration of mass $$2.01M_\odot $$ 2.01 M ⊙ and radius 9.1 km. The internal properties of the solution are very different for $$n=12$$ n = 12 to $$n=24$$ n = 24 ; however, the total mass and radius is independent of the parameter n. The energy conditions are also holds good by the solution which thus can represent a physically viable matter distribution. The equilibrium condition and stability are also discussed through TOV-equation, cracking method and $$\Gamma >4/3$$ Γ > 4 / 3 . The static stability criterion is also well satisfied and the turning point corresponds to $$4.46M_\odot $$ 4.46 M ⊙ for a radius of 9.1 km.http://link.springer.com/article/10.1140/epjc/s10052-017-5149-2 |
| spellingShingle | Piyali Bhar Ksh. Newton Singh Nayan Sarkar Farook Rahaman A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition European Physical Journal C: Particles and Fields |
| title | A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition |
| title_full | A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition |
| title_fullStr | A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition |
| title_full_unstemmed | A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition |
| title_short | A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition |
| title_sort | comparative study on generalized model of anisotropic compact star satisfying the karmarkar condition |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-5149-2 |
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