Noncommutative wormholes in \(f(R)\) gravity with Lorentzian distribution. (English) Zbl 1298.83114
Summary: In this paper, we derive some new exact solutions of static wormholes in \(f(R)\) gravity supported by the matter possesses Lorentzian density distribution of a particle-like gravitational source. We derive the wormhole’s solutions in two possible schemes for a given Lorentzian distribution: assuming an astrophysically viable \(F(R)\) function such as a power-law form and discuss several solutions corresponding to different values of the exponent (here \(F=\frac{df}{dR}\)). In the second scheme, we consider particular form of two shape functions and have reconstructed \(f(R)\) in both cases. We have discussed all the solutions with graphical point of view.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
References:
| [1] | Teo, E., No article title, Phys. Rev. D, 58 (1998) · doi:10.1103/PhysRevD.58.024014 |
| [2] | Kuhfittig, P. K.F., No article title, Phys. Rev. D, 67 (2003) · Zbl 1222.83156 · doi:10.1103/PhysRevD.67.064015 |
| [3] | Kashargin, P.E., Sushkov, S.V.:. arXiv:0710.5656 [gr-qc] |
| [4] | Jamil, M.; Kuhfittig, P. K.F.; Rahaman, F.; Rakib, Sk. A., No article title, Eur. Phys. J. C, 67, 513-520 (2010) · doi:10.1140/epjc/s10052-010-1325-3 |
| [5] | Clement, G., No article title, Phys. Rev. D, 51, 6803 (1995) · doi:10.1103/PhysRevD.51.6803 |
| [6] | Lemos, J. P.S.; etal., No article title, Phys. Rev. D, 68 (2003) · doi:10.1103/PhysRevD.68.064004 |
| [7] | Rahaman, F.; etal., No article title, Gen. Relativ. Gravit., 39, 145 (2007) · Zbl 1129.83340 · doi:10.1007/s10714-006-0380-4 |
| [8] | Lemos, J. P.S.; Lobo, F. S.N., No article title, Phys. Rev. D, 78 (2008) · doi:10.1103/PhysRevD.78.044030 |
| [9] | Rahaman, F.; etal., No article title, Gen. Relativ. Gravit., 38, 1687 (2006) · Zbl 1133.83317 · doi:10.1007/s10714-006-0325-y |
| [10] | Rahaman, F.; etal., No article title, Mod. Phys. Lett. A, 24, 53 (2009) · Zbl 1165.83327 · doi:10.1142/S0217732309027406 |
| [11] | Rahaman, F.; etal., No article title, Class. Quantum Gravity, 28 (2011) |
| [12] | Rahaman, F.; etal., No article title, Int. J. Theor. Phys., 51, 1680 (2012) · Zbl 1381.83090 · doi:10.1007/s10773-011-1045-y |
| [13] | Kim, S.-W.; Lee, H., No article title, Phys. Rev. D, 63 (2001) · doi:10.1103/PhysRevD.63.064014 |
| [14] | Rahaman, F.; etal., No article title, Int. J. Theor. Phys., 48, 1637 (2009) · Zbl 1171.83326 · doi:10.1007/s10773-009-9936-x |
| [15] | Lobo, F.S.N.: arXiv:0710.4474 [gr-qc] |
| [16] | Morris, M. S.; Thorne, K. S., No article title, Am. J. Phys., 56, 395 (1988) · Zbl 0957.83529 · doi:10.1119/1.15620 |
| [17] | Morris, M. S.; etal., No article title, Phys. Rev. Lett., 61, 1446 (1988) · doi:10.1103/PhysRevLett.61.1446 |
| [18] | Roman, T. A., No article title, Phys. Rev. D, 47, 1370 (1993) · doi:10.1103/PhysRevD.47.1370 |
| [19] | Hawking, S. W., No article title, Phys. Rev. D, 46, 603 (1992) · doi:10.1103/PhysRevD.46.603 |
| [20] | Lobo, F. S.N.; Oliveira, M. A., No article title, Phys. Rev. D, 80 (2009) · doi:10.1103/PhysRevD.80.104012 |
| [21] | Mehdipour, S. H., No article title, Eur. Phys. J. Plus, 127, 80 (2012) · doi:10.1140/epjp/i2012-12080-4 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
