Poster

Metrics on End-Periodic Manifolds as Models for Dark Matter

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Can end-periodic manifolds be used as models for dark matter?

AI: Yes, the paper aims to present a spacetime model for an exotic smooth structure of $\mathbb{R}^4$, which could potentially explain excess gravitational lensing attributed to dark matter. The paper discusses various metrics and matter models on end-periodic manifolds and compares them to existing models of matter distributions in extragalactic systems.
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In what type of physical systems might this work be applied?

AI: This work could potentially be applied to cosmological systems.
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Does that mean it cannot explain dark matter found in spiral galaxies?

AI: Based on the answers given before, it cannot be determined whether or not the paper can explain dark matter found in spiral galaxies.

Authors

Christopher L Duston

Abstract

In this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of $\mathbb{R}^4$. We will present three distinct examples, discuss their associated matter models by solving the Einstein equations, and determine their physical viability by examining the energy conditions. We will also compare one of the models directly with existing models of matter distributions in extragalactic systems, to highlight the viability of utilizing exotic smooth structures to understand the existence and distribution of dark matter.

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