A new class of f(R)-gravity model with wormhole solutions and cosmological properties
Abstract A spherically symmetric wormhole family of solutions, with null red-shift, in the context of f(R)-gravity is presented. The model depends on two parameters: m and $$\beta $$ β and meets all requirements to be an asymptotically and traversable wormhole. To solve the field equations, an EoS i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8159-4 |
| Summary: | Abstract A spherically symmetric wormhole family of solutions, with null red-shift, in the context of f(R)-gravity is presented. The model depends on two parameters: m and $$\beta $$ β and meets all requirements to be an asymptotically and traversable wormhole. To solve the field equations, an EoS is imposed: $$p_{\perp }=-\rho $$ p⊥=-ρ . It is found that for $$m=1$$ m=1 the solution satisfies the null energy condition, although $$F(R)<0$$ F(R)<0 everywhere. For $$m=0$$ m=0 , the model satisfies the null energy condition away from the throat, where the function F(R) is everywhere positive and together with dF(R)/dR vanish at the throat of the wormhole. This fact is beyond the scope of the non-existence theorem. Furthermore, the cosmological viability of the model, to address the late – time accelerated epoch, is analyzed on the background of a flat FLRW space-time. The model satisfies consistency of local gravity tests, stability under cosmological perturbations, ghosts free and stability of the de Sitter point. |
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| ISSN: | 1434-6044 1434-6052 |