Abstract
This paper explores and analyzes a set of solutions describing the interior structure of relativistic compact stellar structures with variable cosmological constant \(\Lambda (r)\). We consider the solution of Krori–Barua space-time to a static spherical symmetric metric. Furthermore, we match our interior stellar structure with the exterior Schwarzschild geometry to determine the values of the constants used in the solution of the Krori–Barua space-time. The numerical values of these constants were determined for a set of different compact stars, and using these constants in our solutions, we have studied the viability of matter content, stability, TOV equations, and surface red-shift; and we predicted some physical aspects like central and surface densities, stresses, masses, and radii.
Similar content being viewed by others
References
Ahmed, N., Alamri, S.Z.: A stable flat universe with variable cosmological constant in \(f {(R, T)}\) gravity. Res. Astron. Astrophys. 18(10), 123 (2018)
Bonanno, A., Carloni, S.: Dynamical system analysis of cosmologies with running cosmological constant from quantum Einstein gravity. New J. Phys. 14(2), 025008 (2012)
Buchdahl, H.A.: General relativistic fluid spheres. Phys. Rev. 116(4), 1027 (1959)
Capozziello, S., Lobo, F.S., Mimoso, J.P.: Energy conditions in modified gravity. Phys. Lett. B 730, 280–283 (2014)
Capozziello, S., Lobo, F.S., Mimoso, J.P.: Generalized energy conditions in extended theories of gravity. Phys. Rev. D 91(12), 124019 (2015)
Chodos, A., Jaffe, R., Johnson, K., Thorn, C.B., Weisskopf, V.: New extended model of hadrons. Phys. Rev. D 9(12), 3471 (1974)
Demorest, P.B., Pennucci, T., Ransom, S., Roberts, M., Hessels, J.: A two-solar-mass neutron star measured using Shapiro delay. Nature 467(7319), 1081–1083 (2010)
Gangopadhyay, T., Ray, S., Li, X.-D., Dey, J., Dey, M.: Strange star equation of state fits the refined mass measurement of 12 pulsars and predicts their radii. Mon. Not. R. Astron. Soc. 431(4), 3216–3221 (2013)
Güver, T., Özel, F., Cabrera-Lavers, A., Wroblewski, P.: The distance, mass, and radius of the neutron star in 4u 1608–52. Astrophys. J. 712(2), 964 (2010a)
Güver, T., Wroblewski, P., Camarota, L., Özel, F.: The mass and radius of the neutron star in 4u 1820–30. Astrophys. J. 719(2), 1807 (2010b)
Harko, T., Lobo, F.S., Nojiri, S., Odintsov, S.D.: \(f (r, t)\) gravity. Phys. Rev. D 84(2), 024020 (2011)
Herrera, L.: Cracking of self-gravitating compact objects. Phys. Lett. A 165(3), 206–210 (1992)
Ilyas, M.: Charged compact stars in \(f{(\mathcal{G})}\) gravity. Eur. Phys. J. C 78(9), 757 (2018a)
Ilyas, M.: Some Cosmological Aspects of Celestial Objects in Modified Gravity. PhD thesis, University of the Punjab, Lahore (2018b)
Ilyas, M.: Energy conditions in non-local gravity. Int. J. Geom. Methods Mod. Phys. 16(10), 1950149 (2019)
Ilyas, M., Yousaf, Z., Bhatti, M., Masud, B.: Existence of relativistic structures in \(f{(R,T)}\) gravity. Astrophys. Space Sci. 362(12), 237 (2017)
Kalam, M., Rahaman, F., Ray, S., Hossein, S.M., Karar, I., Naskar, J.: Anisotropic strange star with de Sitter spacetime. Eur. Phys. J. C 72(12), 2248 (2012)
Krori, K., Barua, J.: A singularity-free solution for a charged fluid sphere in general relativity. J. Phys. A, Math. Gen. 8(4), 508 (1975)
Li, X.-D., Bombaci, I., Dey, M., Dey, J., Van Den Heuvel, E.: Is sax j1808. 4-3658 a strange star? Phys. Rev. Lett. 83(19), 3776 (1999a)
Li, X.-D., Ray, S., Dey, J., Dey, M., Bombaci, I.: On the nature of the compact star in 4u 1728–34. Astrophys. J. Lett. 527(1), L51 (1999b)
Mak, M., Harko, T.: Anisotropic stars in general relativity. Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459(2030), 393–408 (2003)
Mak, M., Dobson, P.N. Jr., Harkó, T.: Exact models for anisotropic relativistic stars. Int. J. Mod. Phys. D 11(02), 207–221 (2002)
Mavromatos, N.E.: Supersymmetry, cosmological constant and inflation: towards a fundamental cosmic picture via “running vacuum”. EPJ Web Conf. 126, 02020. (2016). EDP Sciences
Özel, F., Güver, T., Psaltis, D.: The mass and radius of the neutron star in exo 1745–248. Astrophys. J. 693(2), 1775 (2009)
Perlmutter, S., Aldering, G., Della Valle, M., Deustua, S., Ellis, R., Fabbro, S., Fruchter, A., Goldhaber, G., Groom, D., Hook, I., et al.: Discovery of a supernova explosion at half the age of the universe. Nature 391(6662), 51–54 (1998)
Riess, A.G., Strolger, L.-G., Tonry, J., Casertano, S., Ferguson, H.C., Mobasher, B., Challis, P., Filippenko, A.V., Jha, S., Li, W., et al.: Type Ia supernova discoveries at \(z > 1\) from the Hubble Space Telescope: evidence for past deceleration and constraints on dark energy evolution. Astrophys. J. 607(2), 665 (2004)
Shabani, H., Ziaie, A.H.: Consequences of energy conservation violation: Late time solutions of \(\lambda {(T)} \mathit{cdm} \) subclass of \(f {(R, T)} \) gravity using dynamical system approach (2017). ArXiv preprint, arXiv:1702.07380
Shapiro, I.L., Sola, J.: On the possible running of the cosmological “constant”. Phys. Lett. B 682(1), 105–113 (2009)
Socorro, J., D’oleire, M., Pimentel, L.O.: Variable cosmological term \(\lambda (t) \). Astrophys. Space Sci. 360(1), 20 (2015)
Stachowski, A., Szydłowski, M.: Dynamical system approach to running \(\lambda \) cosmological models. Eur. Phys. J. C 76(11), 606 (2016)
Usov, V.V.: Electric fields at the quark surface of strange stars in the color-flavor locked phase. Phys. Rev. D 70(6), 067301 (2004)
Acknowledgements
This work has been supported financially by Start-Up Research Grant Program (SRGP), Higher Education Commission, Pakistan under research project No. 2681.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ilyas, M. Compact stars with variable cosmological constant in \(f(\mathcal{R,T})\) gravity. Astrophys Space Sci 365, 180 (2020). https://doi.org/10.1007/s10509-020-03888-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-020-03888-1