Two diverse models of embedding class one

Abstract

Embedding theorems have continued to be a topic of interest in the general theory of relativity since these help connect the classical theory to higher-dimensional manifolds. This paper deals with spacetimes of embedding class one, i.e., spacetimes that can be embedded in a five-dimensional flat spacetime. These ideas are applied to two diverse models, a complete solution for a charged wormhole admitting a one-parameter group of conformal motions and a new model to explain the flat rotation curves in spiral galaxies without the need for dark matter.

11 pages, no figures

References in corpus (4)

• Dark matter as a geometric effect in f(R) gravity
• Conformally symmetric traversable wormholes
• Wormhole geometries with conformal motions
• Revisiting galactic rotation curves given a noncommutative-geometry background

Cited by in corpus (10)

• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• Traversable Wormhole Solutions in $f(R)$ Gravity Via Karmarkar Condition
• Investigation of Traversable Wormhole Solutions in Modified $f(R)$ Gravity with Scalar Potential
• A conformally flat realistic anisotropic model for a compact star
• A generalized Finch-Skea class one static solution
• Geometrically deformed charged anisotropic models in $f(Q,T)$ gravity
• Embedded Class-I Solution of Compact Stars in $f(R)$ Gravity with Karmarkar Condition
• Spherically symmetric wormholes of embedding class one
• f(R) wormholes embedded in a pseudo--Euclidean space $E^5$
• Charged anisotropic compact objects obeying Karmarkar condition