Wormholes in k(R,T) Gravity



  • Farook Rahaman Jadavpur University


(R; T) Gravity, Shape Function, Energy Condition, Wormhole, Redshift Function


The wormhole solution could be found by solving the Einstein field equations with violating the null energy condition (NEC). We represent wormhole solutions in $\kappa(R,T)$ gravity (Teruel , 2017) in two different ways. At first we find the shape function by considering a redshift function and linear equation of state (EoS). The solution represents a wormhole for the real feasible matter. In second part we consider two pairs of redshift and shape functions and analyze the obtained solutions. Some of the models suggest that for particular values of the parameters, the existence of wormholes are supported by arbitrarily small quantity of exotic matter.


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M. Visser, Lorentzian Wormhole : from Einsteint to Hawking, AIP Press (1995)

L. Flamm, Physikalische Zeitschrift 17, 448 (1916)

A. Einstein and N. Rosen, Phys. Rev. 48, 73 (1935).

M.S. Morris and K.S. Thorne, Am. J. Phys. 56,395 (1988)

A.G. Riess, et al., Astron. J. 116, 1009 (1998)

S. Perlmutter, et al., Phys. Rev. Lett. 83 , 670 (1999)

D.N. Spergel, et al., Astrophys. J. Suppl. Ser. 148 , 175 (2003)

M. Tegmark, et al., Phys. Rev. D 69, 103501 (2004)

P.J.E. Peebles, Rev. Mod. Phys. 75 , 559 (2003)

R. Ferraro, F. Fiorini, Phys. Rev. D 75, 084031 (2007)

G.R. Bengochea, R. Ferraro, Phys. Rev. D 79, 124019 (2009)

E.V. Linder, Phys. Rev. D 81, 127301 (2010)

S.M. Carroll, A. De Felice, V. Duvvuri, D.A. Easson, M. Trodden, M.S. Turner, Phys. Rev. D 71, 063513 (2005)

G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov and S. Zerbini, Phys. Rev. D 73, 084007 (2006)

S. Capozziello, S. Carloni, A. Troisi, Recent Res. Dev. Astron. Astrophys. 1, 625 (2003)

S. Nojiri, S.D. Odintsov, Phys. Rev. D 68 123512 (2003)

T. Harko, F.S.N. Lobo, S. Nojiri, S.D. Odintsov, Phys. Rev. D 84, 024020 (2011).

S. Capozziello and Laurentis, M De: arXiv: 1108.6266v2 (2011).

S. Nojiri, S.D. Odintsov, Phys. Rep. 505 (2011) 59-144.

S. Nojiri, S.D. Odintsov, and V.K. Oikonomou, Phys. Rep. 692 (2017) 1-104.

T. Harko, F.S.N. Lobo, M.K. Mak, S.V. Sushkov, Phys. Rev D 87, 067504 (2013).

F. Rahaman, A. Banerjee, M. Jamil, A.K. Yadav, H. Idris, Int. J. Theor. Phys. 53, 1910 (2014)

F. S. N. Lobo and M. A. Oliveira, Phys. Rev. D 80, 104012 (2009)

M. R. Mehdizadeh, M. K. Zangeneh and F. S. N. Lobo, Phys. Rev. D 91, 084004 (2015)

M. Zubair, S. Waheed, and Y. Ahmad, Eur. Phys. J. C 76, 444 (2016)

P.H.R.S. Moraes, R.A.C. Correa and R.V. Lobato, JCAP 07, 029 (2017)

To Physics Journal Vol 2 (2019) http://purkh.com/index.php/tophy

M. Sharif and A. Ikram, Int. J. Mod. Phys. D 24 1550003 (2015)

K. Sarkar, G. Biswas and B. Modak, Gen Relativ Gravit 50, 157 (2018)

G. C. Samanta, N. Godani and K.Bamba, arxiv.org/abs/1811.06834v1 (2018)

J. L. Rosa, J. P.S. Lemos and F. S.N. Lobo, Phys. Rev. D 98, 064054 (2018)

E. Elizalde and M. Khurshudyan, arXiv:1811.11499v1 [gr-qc] (2018)

M. Zubair, F Kousar and S. Bahamonde, Eur. Phys. J. Plus 133, 523 (2018)

K. Jusu, N. Sarkar, F Rahaman, A. Banerjee and S. Hansraj, Eur. Phys. J. C 78, 349 (2018)

N. Godani and G. C. Samanta, International Journal of Modern Physics D 28, 1950039 (2019)

Gines R. Perez Teruel, Eur. Phys.J. C 78, 660 (2018)

C. Brans, and R.H. Dicke, Phys. Rev. 124, 925935 (1961)

C. Brans, The roots of scalar-tensor theory: an approximate history. arXiv:gr-qc/0506063 (2005)

F. Rahaman, M. Kalam, M. Sarker and K. Gayen, Phys. Lett. B 633, 161 (2006)

F. Rahaman, S. Sarkar, Ksh. N. Singh, N. Pant, Mod. Phys. Lett. A 34, 1950010 (2019)



How to Cite

Rahaman, F. (2019). Wormholes in k(R,T) Gravity: Wormholes. To Physics Journal, 2, 7-21. Retrieved from https://purkh.com/index.php/tophy/article/view/265



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