Eccentric extreme mass-ratio inspirals: a gateway to probe quantum gravity effects

Abstract We examine a loop quantum gravity (LQG) inspired rotating black hole, treating it as a central supermassive black hole (SMBH) in an extreme mass-ratio inspiral (EMRI) system, where an inspiralling object exhibits eccentric motion around the SMBH. With the orbital dynamics, we derive analyti...

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Main Authors: Tieguang Zi, Shailesh Kumar
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14330-7
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author Tieguang Zi
Shailesh Kumar
author_facet Tieguang Zi
Shailesh Kumar
author_sort Tieguang Zi
collection DOAJ
description Abstract We examine a loop quantum gravity (LQG) inspired rotating black hole, treating it as a central supermassive black hole (SMBH) in an extreme mass-ratio inspiral (EMRI) system, where an inspiralling object exhibits eccentric motion around the SMBH. With the orbital dynamics, we derive analytical expressions for the rate of change of orbital energy and angular momentum, as well as orbital evolution, and subsequently generate the gravitational waveforms. To evaluate the difference between EMRI waveforms emitted from the Kerr black hole and a spinning black hole in LQG, we compute the dephasing and mismatch using the Laser Interferometer Space Antenna (LISA) observation. Our result indicates that LISA can distinguish the modified effect of LQG with a parameter as small as $$2\times 10^{-6}$$ 2 × 10 - 6 . The constraint on a parameter in LQG using the Fisher information matrix can be obtained within a fraction error of $$10^{-6}$$ 10 - 6 .
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issn 1434-6052
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publishDate 2025-05-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-d97ff471a88741b59f5bfc3343da02612025-08-20T03:22:13ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511710.1140/epjc/s10052-025-14330-7Eccentric extreme mass-ratio inspirals: a gateway to probe quantum gravity effectsTieguang Zi0Shailesh Kumar1Department of physics, Nanchang UniversityIndian Institute of TechnologyAbstract We examine a loop quantum gravity (LQG) inspired rotating black hole, treating it as a central supermassive black hole (SMBH) in an extreme mass-ratio inspiral (EMRI) system, where an inspiralling object exhibits eccentric motion around the SMBH. With the orbital dynamics, we derive analytical expressions for the rate of change of orbital energy and angular momentum, as well as orbital evolution, and subsequently generate the gravitational waveforms. To evaluate the difference between EMRI waveforms emitted from the Kerr black hole and a spinning black hole in LQG, we compute the dephasing and mismatch using the Laser Interferometer Space Antenna (LISA) observation. Our result indicates that LISA can distinguish the modified effect of LQG with a parameter as small as $$2\times 10^{-6}$$ 2 × 10 - 6 . The constraint on a parameter in LQG using the Fisher information matrix can be obtained within a fraction error of $$10^{-6}$$ 10 - 6 .https://doi.org/10.1140/epjc/s10052-025-14330-7
spellingShingle Tieguang Zi
Shailesh Kumar
Eccentric extreme mass-ratio inspirals: a gateway to probe quantum gravity effects
European Physical Journal C: Particles and Fields
title Eccentric extreme mass-ratio inspirals: a gateway to probe quantum gravity effects
title_full Eccentric extreme mass-ratio inspirals: a gateway to probe quantum gravity effects
title_fullStr Eccentric extreme mass-ratio inspirals: a gateway to probe quantum gravity effects
title_full_unstemmed Eccentric extreme mass-ratio inspirals: a gateway to probe quantum gravity effects
title_short Eccentric extreme mass-ratio inspirals: a gateway to probe quantum gravity effects
title_sort eccentric extreme mass ratio inspirals a gateway to probe quantum gravity effects
url https://doi.org/10.1140/epjc/s10052-025-14330-7
work_keys_str_mv AT tieguangzi eccentricextrememassratioinspiralsagatewaytoprobequantumgravityeffects
AT shaileshkumar eccentricextrememassratioinspiralsagatewaytoprobequantumgravityeffects