Probing charge of compact objects with gravitational microlensing of gravitational waves

Fuente: arXiv
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Auteurs principaux: Deka, Uddeepta, Chakraborty, Sumanta, Kapadia, Shasvath J., Shaikh, Md Arif, Ajith, Parameswaran
Format: Preprint
Publié: 2024
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author Deka, Uddeepta
Chakraborty, Sumanta
Kapadia, Shasvath J.
Shaikh, Md Arif
Ajith, Parameswaran
author_facet Deka, Uddeepta
Chakraborty, Sumanta
Kapadia, Shasvath J.
Shaikh, Md Arif
Ajith, Parameswaran
contents Gravitational microlensing of gravitational waves (GWs) opens up the exciting possibility of studying the spacetime geometry around the lens. In this work, we investigate the prospects of constraining the `charged' hair of a charged gravitating object from the observation of a GW signal microlensed by the same. The charge can have electromagnetic or modified gravity origin. We compute the analytic form of the lensing potential with charge and construct the lensed waveforms for a range of mass and charge of the charged object, assuming them to be non spinning. Using an approximate likelihood function, we explore how future observations of microlensed GWs can constrain the charge of the lens. We conclude that lensing observations are unlikely to be able to constrain the electromagnetic charge of black holes. However, we might be able to put modest constraints on certain modified gravity models (e.g., the brandworld scenario) or the possibility of the lenses being exotic objects (e.g., naked singularities) .
format Preprint
id arxiv_https___arxiv_org_abs_2401_06553
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Probing charge of compact objects with gravitational microlensing of gravitational waves
Deka, Uddeepta
Chakraborty, Sumanta
Kapadia, Shasvath J.
Shaikh, Md Arif
Ajith, Parameswaran
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
Gravitational microlensing of gravitational waves (GWs) opens up the exciting possibility of studying the spacetime geometry around the lens. In this work, we investigate the prospects of constraining the `charged' hair of a charged gravitating object from the observation of a GW signal microlensed by the same. The charge can have electromagnetic or modified gravity origin. We compute the analytic form of the lensing potential with charge and construct the lensed waveforms for a range of mass and charge of the charged object, assuming them to be non spinning. Using an approximate likelihood function, we explore how future observations of microlensed GWs can constrain the charge of the lens. We conclude that lensing observations are unlikely to be able to constrain the electromagnetic charge of black holes. However, we might be able to put modest constraints on certain modified gravity models (e.g., the brandworld scenario) or the possibility of the lenses being exotic objects (e.g., naked singularities) .
title Probing charge of compact objects with gravitational microlensing of gravitational waves
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2401.06553