Wormholes in $$R^2$$ R 2 -gravity within the f(R, T) formalism
P. K. SahooDepartment of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad, 500078, IndiaP. H. R. S. MoraesDepartamento de Física, ITA-Instituto Tecnológico de Aeronáutica, São José dos Campos, São Paulo, 12228-900, BrazilParbati SahooDepartment of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad, 500078, India
2018en
ABI
Abstract
We propose, as a novelty in the literature, the modeling of wormholes within a particular case of f(R, T) gravity, namely $$f(R,T)=R+\alpha R^{2}+\lambda T$$ , with R and T being the Ricci scalar and trace of the energy-momentum tensor, respectively, while $$\alpha $$ and $$\lambda $$ are constants. Although such a functional form application can be found in the literature, those concern compact astrophysical objects, such that no wormhole analysis has been done so far. The quadratic geometric and linear material corrections of this theory render the matter content of the wormhole remarkably able to obey the energy conditions.
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