Stable wormhole models in general relativity under conformal symmetry. (English) Zbl 07825885
Summary: In this study, we shall explore conformal symmetry to examine the wormhole models by considering traceless fluid. In this regard, we shall take anisotropic fluid with spherically symmetric space-time. Further, we shall calculate the properties of shape-functions, which are necessary for the existence of wormhole geometry. The presence of exotic matter is confirmed in all the cases through the violation of the Null Energy Condition. Furthermore, we have discussed the stability of wormhole solutions through the Tolman-Oppenheimer-Volkoff (TOV) equation. It is observed that our acquired solutions are stable under the particular values of involved parameters in different cases in conformal symmetry.
References:
| [1] | Morris, M. S. and Thorne, K. S., Wormholes, time machines and the weak energy conditions, Phys. Rev. Lett.61 (1988) 1446. |
| [2] | Einstein, A. and Rosen, N., Can quantum-mechanical description of physical reality be considered complete?Phys. Rev.47 (1935) 777. · Zbl 0012.04201 |
| [3] | Wheeler, J. A., Geometrodynamics (Academic Press, New York, 1962). · Zbl 0124.22207 |
| [4] | Visser, M., Lorentzian Wormholes: From Einstein to Hawking (American Institute of Physics, New York, 1995). |
| [5] | Roman, T. A., Some thoughts on energy conditions and wormholes, in Proceedings of the Tenth Marcel Grossmann Meeting on General Relativity, eds. Bergliaffa, S. P. and Novello, M. (World Scientific, Singapore, 2006). |
| [6] | Hawking, S. W. and Ellis, G. F. R., The Large Scale Structure of Spacetime, Vol. 1 (Cambridge University Press, England, 1973). · Zbl 0265.53054 |
| [7] | Shamir, M. F. and Zia, S., Existence of static wormhole solutions in \(f(R,G)\) gravity, Astrophys. Space Sci.363 (2018) 247. |
| [8] | Capozziello, S.et al., Wormholes supported by hybrid metric-Palatini gravity, Phys. Rev. D86 (2012) 127504. |
| [9] | Bahamonde, S.et al., Scalar-tensor teleparallel wormholes by Noether symmetries, Phys. Rev. D94 (2016) 084042. |
| [10] | Capozziello, S.et al., Constructing superconductors by graphene Chern-Simons wormholes, Ann. Physics390 (2018) 303. · Zbl 1384.82016 |
| [11] | Capozziello, S., Pincak, R. and Bartos, E., Chern-Simons current of left and right chiral superspace in graphene wormhole, Symmetry12 (2020) 774. |
| [12] | Samanta, G. C. and Godani, N., Validation of energy conditions in wormhole geometry within viable \(f(R)\) gravity, Eur. Phys. J. C79 (2019) 623. · Zbl 1431.83134 |
| [13] | Barcelo, C. and Visser, M., Scalar fields energy conditions and traversable wormholes, Class. Quantum Grav.17 (2000) 3843. · Zbl 0971.83042 |
| [14] | Visser, M., Traversable wormholes: Some simple examples, Phys. Rev. D39 (1989) 3182. |
| [15] | Visser, M., Traversable wormholes from surgically modified schwarzschild spacetimes, Nuclear Phys. B328 (1989) 203. |
| [16] | Capozziello, S. and Francaviglia, M., Extended theories of gravity and their cosmological and astrophysical applications, Gen. Relativ. Gravit.40 (2008) 357. · Zbl 1137.83302 |
| [17] | Capozziello, S.et al., Cosmological viability of \(f(\text{R})\) gravity as an ideal fluid and its compatibility with a matter dominated phase, Phys. Lett. B639 (2006) 135. |
| [18] | Capozziello, S., Cardone, V. F. and Troisi, A., Reconciling dark energy models with \(f(\text{R})\) theories, Phys. Rev. D71 (2005) 043503. |
| [19] | Capozziello, S., Stabile, A. and Troisi, A., Spherically symmetric solutions in \(f(\text{R})\) gravity via noether symmetry approach, Class. Quantum Grav.24 (2007) 2153. · Zbl 1113.83017 |
| [20] | Capozziello, S.et al., Hydrostatic equilibrium and stellar structure in \(f(\text{R})\) gravity, Phys. Rev.83 (2011) 064004. |
| [21] | Mustafa, G.et al., Non-commutative wormholes exhibiting conformal motion in Rastall gravity, Chinese J. Phys.65 (2020) 163-176. · Zbl 07832441 |
| [22] | Mustafa, G.et al., Stable wormholes solutions in the background of Rastall theory, Modern Phys. Lett. A33 (2020) 2050035. · Zbl 1434.83105 |
| [23] | Mustafa, G.et al., Gaussian distributed wormholes exhibiting conformal motion in \(f(T)\) gravity, Int. J. Geom. Methods Mod. Phys.16 (2019) 1950143. · Zbl 07804185 |
| [24] | Mustafa, G.et al., Wormhole solutions in \(F(T, T_G\) gravity under Gaussian and Lorentzian non-commutative distributions with conformal motions, Chinese J. Phys.60 (2019) 362-378. · Zbl 07823598 |
| [25] | Lobo, F. S. N. and Oliveira, M. A., Wormhole geometries in \(f(R)\) modified theories of gravity, Phys. Rev. D80 (2009) 104012. |
| [26] | Saiedi, H. and Esfahani, N., Time-dependent worm hole solutions of \(f(R)\) theory of gravity and energy conditions, Modern Phys. Lett. A26 (2011) 1211. · Zbl 1274.83120 |
| [27] | Sharif, M. and Rani, S., \(f(T)\) gravity and static wormhole solutions, Modern Phys. Lett. A29(27) (2014) 1450137. · Zbl 1297.83042 |
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