Dust stars in the minimal exponential measure model

Fuente: arXiv
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Hauptverfasser: Lambaga, Reyhan D., Feng, Justin C., Hsia, Norman, Chen, Pisin
Format: Preprint
Veröffentlicht: 2025
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author Lambaga, Reyhan D.
Feng, Justin C.
Hsia, Norman
Chen, Pisin
author_facet Lambaga, Reyhan D.
Feng, Justin C.
Hsia, Norman
Chen, Pisin
contents We report the existence of horizonless compact object solutions supported by dust in the Minimal Exponential Measure (MEMe) model, a theory which modifies the couplings between gravity and matter without introducing dynamical degrees of freedom. For a perfect fluid source, the field equations for the MEMe model can be rewritten as the Einstein field equations sourced by a perfect fluid with a transformed equation of state, which can endow a sufficiently dense cloud of dust with an effective pressure. The resulting dust-supported horizonless compact objects can have masses below $\sim 10^{-11}~M_\odot$, making them suitable as MACHOs comprising a significant mass fraction for dark matter. A necessary condition for the existence of these compact object solutions is that the single free parameter in the MEMe model is positive-valued. Additionally, we find that this positive sign for the parameter can provide a mechanism for suppressing the formation of (primordial) black holes from the gravitational collapse of matter below a certain mass scale.
format Preprint
id arxiv_https___arxiv_org_abs_2505_11591
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dust stars in the minimal exponential measure model
Lambaga, Reyhan D.
Feng, Justin C.
Hsia, Norman
Chen, Pisin
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
83D99, 83C55
We report the existence of horizonless compact object solutions supported by dust in the Minimal Exponential Measure (MEMe) model, a theory which modifies the couplings between gravity and matter without introducing dynamical degrees of freedom. For a perfect fluid source, the field equations for the MEMe model can be rewritten as the Einstein field equations sourced by a perfect fluid with a transformed equation of state, which can endow a sufficiently dense cloud of dust with an effective pressure. The resulting dust-supported horizonless compact objects can have masses below $\sim 10^{-11}~M_\odot$, making them suitable as MACHOs comprising a significant mass fraction for dark matter. A necessary condition for the existence of these compact object solutions is that the single free parameter in the MEMe model is positive-valued. Additionally, we find that this positive sign for the parameter can provide a mechanism for suppressing the formation of (primordial) black holes from the gravitational collapse of matter below a certain mass scale.
title Dust stars in the minimal exponential measure model
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
83D99, 83C55
url https://arxiv.org/abs/2505.11591