Time-Dependent Wormhole Solutions of $f(R)$ Theory of Gravity and Energy Conditions

Abstract

In this work, we construct time-dependent wormhole solutions in the context of $f(R)$ theory of gravity. The background matter is considered to be traceless. By considering specific shape function and power-law expansion exact solutions for $f(R)$ are found. The null and the weak energy conditions (NEC and WEC) are checked for wormhole solutions. It is shown that the matter threading the wormhole spacetimes with either accelerated expansion or decelerated expansion satisfies the NEC and WEC.

arXiv admin note: text overlap with arXiv:0909.5539, arXiv:1107.2703, arXiv:1007.3040, arXiv:gr-qc/0607124 by other authors

References in corpus (1)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology

Cited by in corpus (4)

• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Wormhole Modeling Supported by Non-Exotic Matter
• Non violation of energy conditions in wormholes modelling
• Thermodynamics of Evolving Lorentzian Wormholes at Apparent Horizon in $f(R)$ Theory of Gravity