New Horizons in Mathematical Physics
Connecting Noncommutative Geometry to f(R) Modified Gravity
Download PDF (420.9 KB) PP. 62 - 66 Pub. Date: December 1, 2018
Author(s)
- Peter K F Kuhfittig*
Department of Mathematics, Milwaukee School of Engineering, Milwaukee, Wisconsin 53202-3109, USA
Abstract
Keywords
References
[1] S. Capozziello, V. F. Cardone, and A. Troisi, “Low surface brightness galaxy rotation curves in the low energy limit of Rn gravity: no need for dark mtter?" Monthly Notices of the Royal Astronomical Society 375, pp. 1423-1440, 2007.
[2] A. Borowiec, W. Godlowski, and M. Szydlowski, “Dark matter and dark energy as effects of modified gravity," International Journal of Geometric Methods in Modern Physics 4, pp. 183-196, 2007.
[3] C. F. Martins and S. Salucci, “Analysis of rotation curves in the framework of Rn gravity," Monthly Notices of the Royal Astonomical Society 381, pp. 1103-1108, 2007.
[4] C. G. B?hmer, T. Harko, and F. S. N. Lobo, “Dark matter as a geometric effect in f(R) gravity," Astroparticle Physics 29, pp. 386-392, 2008.
[5] P. K. F. Kuhfittig, “Accounting for some aspects of dark matter and dark energy via noncommutative geometry," Journal of Modern Physics 8, pp. 323-329, 2017.
[6] P. K. F. Kuhfittig and V. D. Gladney, “Revisiting galactic rotation curves given a noncommutative-geometry background," Journal of Modern Physics 5, pp. 1931-1937, 2014.
[7] E. Witten, “Bound states of strings and p-branes," Nuclear Physics B 460, pp. 335-350, 1996.
[8] N. Seiberg and E. Witten, “String theory and noncommutative geometry," Journal of High Energy Physics 9909, ID: 032, 1999.
[9] A. Smailagic and E. Spallucci, “Feynman path integral on the non-commutative plane," Journal of Physics A 36, pp. L-467-L-471, 2003.
[10] A. Smailagic and E. Spallucci, “UV divergence-free QFT on noncommutative plane," Journal of Physics A 36, pp. L-517-L-521, 2003.
[11] K. Nozari and S. H. Mehdipour, “Hawking radiation as quantum tunneling for noncommutative Schwarzschild black hole," Classical and Quantum Gravity 25, ID: 175015, 2008.
[12] P. K. F. Kuhfittig, “Macroscopic traversable wormholes with zero tidal forces inspired by noncommutative geometry," International Journal of Modern Physics D 24, ID: 1550023, 2015.
[13] S. Nojiri and S. D. Odintsov, “Introduction to modified gravity and gravitational alternative for dark energy," International Journal of Geometric Methods in Modern Physics 4, pp. 115-146, 2007.
[14] F. S. N. Lobo, “The dark side of gravity: Modified theories of gravity," arXiv: 0807.1640.
[15] T. P. Sotiriou and V. Faraoni, “f(R) theories of gravity," Review of Modern Physics 82, pp. 451-497, 2010.
[16] C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (New York: W. Freeman and Company, 1973), page 608.
[17] V. Rubin, N. Thonnard, and W. K. Ford, “Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605/R= 4 kpc/ to UGC 2885/R=122 kpc/," Astrophysical Journal 238, pp. 471-487, 1980.
[18] K. K. Nandi, A. I. Filippov, F. Rahaman, S. Ray, A. A. Usmani, M. Kalam, and A. DeBenedictis, “Features of galactic halo in a brane world model and observational constraints, Monthly Notices of the Royal Astronomical Society 399, pp. 2079-2087, 2009.
[19] F. S. N. Lobo and M. A. Oliveira, “Wormhole geometries in f(R) modified theories of gravity," Physical Review D 80, ID: 104012, 2009.