Abstract
Within 2 + 1-dimensional cosmological new massive gravity, we consider thin-shell and thin-shell wormhole construction. For this, we introduce first, the junction conditions apt for the fourth order terms in the action of the theory. Then, by employing some specific static solutions in new massive gravity, we study the characteristics of associated thin-shells and thin-shell wormholes. Our finding suggests that, firstly, there cannot exist any thin-shells regarding our chosen solutions of cosmological new massive gravity, and secondly, the constructed thin-shell wormhole does not need to be symmetric. More importantly, the thin-shell wormhole, if ever forms, possesses null energy density and null angular pressure on its throat which are preferable to their negative-valued counterparts.
Highlights
Wormholes appeared in general relativity as special solutions of the Einstein’s field equations
We find thin-shell wormholes (TSWs) within cosmological new massive gravity (CNMG) which can be stable, but come to exist only when are asymmetric, in the sense that the bulk spacetimes on the two sides are different in geometry and nature
We choose a class of static solutions in CNMG and introduce the necessary junction conditions (JCs) apt for a higher order theory
Summary
Wormholes appeared in general relativity as special solutions of the Einstein’s field equations. In 2009, Bergshoeff et al suggested a different theory which later was known as New Massive Gravity (NMG) [40,41] This theory, which at the linearized level is the 2 + 1 dimensional equivalent of Pauli–Fierz theory, has the advantage over TMG that preserves parity symmetry [40,41,42]. In this paper we consider the cosmological new massive gravity (CNMG) in 2 + 1-dimensions [41] and construct TSs and TSWs in such a theory. Once perturbed the perturbation energy will accumulate a non-zero energymomentum on the TS To achieve this aim, we choose a class of static solutions in CNMG and introduce the necessary junction conditions (JCs) apt for a higher order theory.
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