# Static traversable wormholes in Lyra manifold

## TL;DR

This paper explores static traversable wormholes within Lyra geometry, demonstrating that such wormholes can satisfy energy conditions through specific Lyra displacement vector fields, extending Einstein's framework.

## Contribution

It introduces new static traversable wormhole solutions in Lyra manifold that meet energy conditions, expanding the theoretical understanding of wormholes in alternative gravity models.

## Key findings

- Wormholes satisfying energy conditions are possible in Lyra manifold.
- Solutions in Einstein framework can also satisfy energy conditions in Lyra geometry.
- Vacuum Lyra manifold admits asymptotically flat traversable wormholes.

## Abstract

At first, considering the Einstein framework, we introduce some new static traversable wormholes, and study the effects of a dark energy-like source on them. Thereinafter, a brief review on Einstein field equations in Lyra manifold is presented, and we address some static traversable wormholes in the Lyra manifold which satisfy the energy-conditions. It is also shown that solutions introduced in the Einstein framework may also meet the energy conditions in the Lyra manifold. Finally, we focus on vacuum Lyra manifold and find some traversable asymptotically flat wormholes. In summary, our study shows that it is theoretically possible to find a Lyra displacement vector field in a manner in which traversable wormholes satisfy the energy conditions in a Lyra manifold.