Primordial Black Hole Merger Rate in $f(R)$ Gravity

Abstract

Primordial black holes (PBHs) are known as one of the potential candidates for dark matter. They are expected to have formed due to the direct gravitational collapse of density fluctuations in the early Universe. Therefore, the study of the merger rate of PBHs in modified theories of gravity can provide more detailed information about their abundance. In this work, we delve into the calculation of the merger rate of PBHs within the theoretical framework of $f(R)$ gravity. Our analysis reveals an enhancement in the merger rate of PBHs compared to that obtained from general relativity (GR). Additionally, modulating the field strength $f_{R0}$ induces shifts in the PBH merger rate, presenting a potential observational signature of modified gravity. We also find that the total merger rate of PBHs will be consistent with the merger rate of black holes estimated by the Laser Interferometer Gravitational-Wave Observatory (LIGO)-Virgo-KAGRA detectors if $f_{PBH}\gtrsim 0.1$. While further improvements might be required, relative enhancement of the merger rate of PBHs in the framework of $f(R)$ gravity and its consistency with gravitational wave data underscore the importance of employing modified theories of gravity to examine diverse scenarios related to the formation of black holes.

17 pages, 11 figures, references added

References in corpus (27)

• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• The merger rate of primordial-black-hole binaries
• Effect of Primordial Black Holes on the Cosmic Microwave Background and Cosmological Parameter Estimates
• Constraining f(R) Gravity as a Scalar Tensor Theory
• The halo mass function from the dark ages through the present day
• New binary black hole mergers in the LIGO--Virgo O3a data
• The end of the MACHO era- revisited: new limits on MACHO masses from halo wide binaries
• Evidence for dark energy from the cosmic microwave background alone using the Atacama Cosmology Telescope lensing measurements
• The growth of dark matter halos: evidence for significant smooth accretion
• Stochastic Gravitational-Wave Background due to Primordial Binary Black Hole Mergers
• Hierarchical Formation of Dark Matter Halos and the Free Streaming Scale
• Excursion Set Halo Mass Function and Bias in a Stochastic Barrier Model of Ellipsoidal Collapse
• A high precision semi-analytic mass function
• The Observed Rate of Binary Black Hole Mergers can be Entirely Explained by Globular Clusters
• Cosmological constraints on the Hu-Sawicki modified gravity scenario
• A general framework to test gravity using galaxy clusters II: A universal model for the halo concentration in $f(R)$ gravity
• Solar System tests and chameleon effect in f (R) gravity
• Compact Binary Merger Rate in Dark-Matter Spikes
• On the effect of angular momentum on the prompt cusp formation via the gravitational collapse
• The Merger Rate of Primordial Black Hole-Neutron Star Binaries in Ellipsoidal-Collapse Dark Matter Halo Models
• The Integrated Sachs-Wolfe Effect in Interacting Dark Matter-Dark Energy Models
• Effect of a High-Precision Semi-Analytical Mass Function on the Merger Rate of Primordial Black Holes in Dark Matter Halos
• On the Merger Rate of Primordial Black Holes in Cosmic Voids
• Influence of early dark matter halos on the primordial black holes merger rate

Cited by in corpus (10)

• Primordial Black Hole-Neutron Star Merger Rate in Modified Gravity
• Gravitational Lensing in More Realistic Dark Matter Halo Models
• Toward More Realistic Mass Functions For Ultradense Dark Matter Halos
• Compact Binary Merger Rate with Modified Gravity in Dark-Matter Spikes
• Matching JWST UV Luminosity Functions with Refined $\Lambda$CDM Halo Models
• High-redshift Galaxies from JWST Observations in More Realistic Dark Matter Halo Models
• Ultradense Dark Matter Halos with Poisson Noise from Stellar-Mass Primordial Black Holes
• Toward Gravitational Lensing in Modified Theories of Gravity
• Mass function of stellar black holes as revealed by the LIGO-Virgo-KAGRA observations
• Merger History of Clustered Primordial Black Holes