Chern-Simons Inspired Massive Gravity

Fuente: arXiv
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Autori principali: Chagoya, J., Sabido, M., Silva-García, A.
Natura: Preprint
Pubblicazione: 2025
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author Chagoya, J.
Sabido, M.
Silva-García, A.
author_facet Chagoya, J.
Sabido, M.
Silva-García, A.
contents In this work we propose a new 2+1 theory of gravity. We start with a modification of Chern-Simons 2+1 gravity. By introducing a vector field $Φ$ to the usual composition of the vierbein and connection, we derive a new action that includes the Einstein-Hilbert term, a cosmological constant and a polynomial term for the vector field. This allows us to write a Chern-Simons inspired Massive Gravity. After solving the polynomial function, the action can be rewritten as a Born-Infeld type action. Moreover, we show that the second order expansion of this action is equivalent to New Massive Gravity. We explore solutions to the theory and show that it has a BTZ solution with an effective cosmological constant in terms of the parameters of the theory, global Lifshitz space-times as well as regular Lifshitz black holes, and asymptotically flat black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2503_05210
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chern-Simons Inspired Massive Gravity
Chagoya, J.
Sabido, M.
Silva-García, A.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
In this work we propose a new 2+1 theory of gravity. We start with a modification of Chern-Simons 2+1 gravity. By introducing a vector field $Φ$ to the usual composition of the vierbein and connection, we derive a new action that includes the Einstein-Hilbert term, a cosmological constant and a polynomial term for the vector field. This allows us to write a Chern-Simons inspired Massive Gravity. After solving the polynomial function, the action can be rewritten as a Born-Infeld type action. Moreover, we show that the second order expansion of this action is equivalent to New Massive Gravity. We explore solutions to the theory and show that it has a BTZ solution with an effective cosmological constant in terms of the parameters of the theory, global Lifshitz space-times as well as regular Lifshitz black holes, and asymptotically flat black holes.
title Chern-Simons Inspired Massive Gravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2503.05210