# Spherically Symmetric Wormholes with anisotropic matter

## TL;DR

This paper explores the geometry of spherically symmetric wormholes filled with anisotropic matter, presenting new solutions and conditions for their existence and regularity within general relativity.

## Contribution

It introduces new static and spherically symmetric solutions, both analytic and numerical, and specifies conditions for nonsingular wormhole spacetimes.

## Key findings

- New analytic and numerical solutions for wormholes
- Existence conditions for wormhole throats
- Criteria for nonsingular wormhole spacetimes

## Abstract

We study the geometry of a wormhole spacetime filled with anisotropic matter in the context of general relativity. In the course of the study, new static and spherically symmetric solutions, analytic and numerical ones, are found. We specify the existence condition for a wormhole throat. We analyze properties of the solutions after categorizing them based on the spacetime regularity and the signature of energy density. The necessary conditions which allow a wormhole spacetime to be nonsingular are described.