Document Type

Honors Paper

Advisor

Michael Seifert

Publication Date

2024

Abstract

This work builds on a paper by Casana et al. [1], in which they calculated an exact, spherically symmetric solution to the Einstein equations in the presence of a bumblebee vector field. We extend their solutions by introducing a timelike component to the vector field. We are able to obtain series solutions to the Einstein equation in the presence of this field. We then demonstrate that these solutions recover flat spacetime. Our results cast doubt on the physical viability of this model, but a more thorough proof is required.

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The views expressed in this paper are solely those of the author.