# New Horizons in Mathematical Physics

### Conformal-symmetry Wormholes Supported by a Perfect Fluid

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### Author(s)

**Peter K F Kuhfittig**^{*}

Department of Mathematics, Milwaukee School of Engineering, Milwaukee, Wisconsin 53202-3109, USA

### Abstract

### Keywords

### References

[1] M. S. Morris and K. S. Thorne, “Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativiy," American Journal of Physics 56, pp. 395-412, 1988.

[2] S. Chandrasekhar, General Relativity- Papers in Honor of J. L. Synge, Oxford University Press, 1972, pp.185-199.

[3] A. G. Riess et al, “Observational evidence from supernovae for an accelerating universe and a cosmological constant," Astronomical Journal 116, no. 3, pp. 1009-1038, 1998.

[4] S. Perlmutter, M. S. Turner, and M. White, “Constraining dark energy with Type 1a supernovae and large-scale structure," Physical Review Letters 83, issue 4, pp. 670-673, 1999.

[5] M. Carmeli, “Accelerating universe, cosmological constant and dark energy," astro-ph/0111259.

[6] F. S. N. Lobo, “Phantom energy traversable wormholes," Physical Review D 71, issue 8, ID: 084011, 2005.

[7] S. Sushkov, “Wormholes supported by a phantom energy," Physical Review D 71, issue 4, ID: 043520, 2005.

[8] L. Herrera and J. Ponce de León, “Perfect fluid spheres admitting a one-parameter group of conformal motions," Journal of Mathematical Physics 26, no. 4, pp. 778-784, 1985.

[9] L. Herrera and J. Ponce de León, “Anisotropic spheres admitting a one-parameter group of conformal motions,"Journal of Mathematical Physics 26, no. 8, pp. 2018-2023, 1985.

[10] M. Mars and J. M. M. Senovilla, “Axial symmetry and conformal Killing vectors," Classical and Quantum Gravity 10, no. 8, pp. 1633-1647, 1993.

[11] S. Ray, A. A. Usmani, F. Rahaman, M. Kalam, and K. Chakraborty, “Electromagnetic mass model admitting conformal motion," Indian Journal of Physics 82, ID: 1191, 2008.

[12] F. Rahaman, M. Jamil, M. Kalam, K. Chakraborty, and A. Ghosh, “On role of pressure anisotropy for relativistic stars admitting conformal motion," Astrophysics and Space Science 325, pp. 137-147, 2010.

[13] F. Rahaman, S. Ray, I. Karar, H. I. Fatima, S. Bhowmick, and G. K. Ghosh, “Static charged fluid in (2+1)-dimensions admitting conformal Killing vectors," arXiv: 1211-1228.

[14] A. Castro, A. Maloney, and A. Strominger, “Hidden conformal symmetry in Kerr black holes," Physical Review D 82, issue 2, ID: 024008, 2010.

[15] F. Rahaman, S. Ray, G. S. Khadekar, P. K. F. Kuhfittig, and I. Karar,“Noncommutative geometry inspired wormholes with conformal motion," International Journal of Theoretical Physics 54, issue 2, pp. 699-709, 2015.

[16] C. G. B?hmer, T. Harko, and F. S. N. Lobo, “Conformal symmetry traversable wormholes," Physical Review D 76, issue 8, ID: 084014, 2007.

[17] C. G. B?hmer, T. Harko, and F. S. N. Lobo, “Wormhole geometries with conformal motions," Classical and Quantum Gravity 25, no. 7, ID: 075016, 2008.

[18] P. K. F. Kuhfittig, “Wormholes admitting conformal Killing vectors and supported by generalized Chaplygin gas," European Physical Journal C 75, no. 8, ID: 357, 2015.

[19] K. S. Virbhadra and G. F. R. Ellis, “Schwarzschild black hole lensing," Physical Review D 62, issue 8, ID: 084003, 2000.

[20] P. K. F. Kuhfittig, “Gravitational lensing of wormholes in the galactic halo region," European Physical Journal C 74, no. 3, ID: 2818, 2014.

[21] P. K. F. Kuhfittig, “Gravitational lensing of wormholes in noncommutative geometry," Scientific Voyage 2, pp. 1-8, 2016.

[22] F. Rahaman, P. K. F. Kuhfittig, S. Ray, and N. Islam, “Possible existence of wormholes in the galactic halo region," European Physical Journal C 74, no. 2, ID: 2750, 2014.