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Big Bang Nucleosynthesis with $f(R)$ gravity scalarons and astrophysical consequences
Cosmology and Nongalactic Astrophysics · Submitted 18 Apr 2024
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is found that for a range of scalaron mass $(2.2-3.5) \times 10^4$ eV, the abundance of lithium is lowered by $3-4$ times the value predicted by general relativistic BBN which is a level desired to address the cosmological lithium problem.
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The abstract, sentence by sentence
$f(R)$ gravity is one of the serious alternatives of general relativity having a large range of astronomical consequences. In this work, we study Big Bang Nucleosynthesis (BBN) in $f(R)$ gravity theory. We consider modification to gravity due to the existence of primordial black holes in the radiation era which introduce additional degrees of freedom known as scalarons. We calculate the light element abundances by using the BBN code PArthENoPE. It is found that for a range of scalaron mass $(2.2-3.5) \times 10^4$ eV, the abundance of lithium is lowered by $3-4$ times the value predicted by general relativistic BBN which is a level desired to address the cosmological lithium problem. For the above scalaron mass range the helium abundance is within the observed bound. However, the deuterium abundance is found to be increased by $3-6$ times the observed primordial abundance. It calls for a high efficiency of stellar formation and evolution processes for destruction of primordial deuterium which is suggested as possible in scalaron gravity. A novel relation between scalaron mass and black hole mass has been used to show that the above scalaron mass range corresponds to primordial black holes of sub-planetary mass ($\sim 10^{19}$ g) serving as one of the potential candidates of non-baryonic dark matter. We infer Big Bang equivalence of power law $f(R)$ gravity with primordial black holes that are detectable with upcoming gravitational wave detectors.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | $f(R)$ gravity is one of the serious alternatives of general relativity having a large range of astronomical consequences. | background 1.00 | 0.04 | 0.02 | asserted 0.99 |
| s1 | In this work, we study Big Bang Nucleosynthesis (BBN) in $f(R)$ gravity theory. | contribution 1.00 | 0.87 | 0.02 | asserted 0.77 |
| s2 | We consider modification to gravity due to the existence of primordial black holes in the radiation era which introduce additional degrees of freedom known as scalarons. | contribution 0.70 | 0.29 | 0.03 | asserted 0.96 |
| s3 | We calculate the light element abundances by using the BBN code PArthENoPE. | method 1.00 | 0.93 | 0.02 | asserted 0.99 |
| s4 | It is found that for a range of scalaron mass $(2.2-3.5) \times 10^4$ eV, the abundance of lithium is lowered by $3-4$ times the value predicted by general relativistic BBN which is a level desired to address the cosmological lithium problem. | result 0.99 | 0.94 | 0.53 | asserted 1.00 |
| s5 | For the above scalaron mass range the helium abundance is within the observed bound. | result 1.00 | 0.91 | 0.07 | asserted 0.99 |
| s6 | However, the deuterium abundance is found to be increased by $3-6$ times the observed primordial abundance. | result 0.97 | 0.96 | 0.13 | asserted 1.00 |
| s7 | It calls for a high efficiency of stellar formation and evolution processes for destruction of primordial deuterium which is suggested as possible in scalaron gravity. | interpretation 0.95 | 0.25 | 0.09 | hedged possibility 0.99 |
| s8 | A novel relation between scalaron mass and black hole mass has been used to show that the above scalaron mass range corresponds to primordial black holes of sub-planetary mass ($\sim 10^{19}$ g) serving as one of the potential candidates of non-baryonic dark matter. | interpretation 0.53 | 0.82 | 0.24 | asserted 0.68 |
| s9 | We infer Big Bang equivalence of power law $f(R)$ gravity with primordial black holes that are detectable with upcoming gravitational wave detectors. | interpretation 0.68 | 0.79 | 0.28 | asserted 0.72 |
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Original abstract
$f(R)$ gravity is one of the serious alternatives of general relativity having a large range of astronomical consequences. In this work, we study Big Bang Nucleosynthesis (BBN) in $f(R)$ gravity theory. We consider modification to gravity due to the existence of primordial black holes in the radiation era which introduce additional degrees of freedom known as scalarons. We calculate the light element abundances by using the BBN code PArthENoPE. It is found that for a range of scalaron mass $(2.2-3.5) \times 10^4$ eV, the abundance of lithium is lowered by $3-4$ times the value predicted by general relativistic BBN which is a level desired to address the cosmological lithium problem. For the above scalaron mass range the helium abundance is within the observed bound. However, the deuterium abundance is found to be increased by $3-6$ times the observed primordial abundance. It calls for a high efficiency of stellar formation and evolution processes for destruction of primordial deuterium which is suggested as possible in scalaron gravity. A novel relation between scalaron mass and black hole mass has been used to show that the above scalaron mass range corresponds to primordial black holes of sub-planetary mass ($\sim 10^{19}$ g) serving as one of the potential candidates of non-baryonic dark matter. We infer Big Bang equivalence of power law $f(R)$ gravity with primordial black holes that are detectable with upcoming gravitational wave detectors.
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Cites as support 1 paper
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It naturally ameliorates the recently realized puzzle of JWST massive high redshift galaxies with large stellar mass [ref] .
Scrutinizing the Primordial Black Holes Interpretation of PTA Gravitational Waves and JWST Early Galaxies · Results and Discussions · 0.97
Cites as background 1 paper
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Distinguishing between these two is one of the major goals of ongoing Dark Energy Survey [ref] and the upcoming Euclid mission [ref] .
Euclid Definition Study Report · Introduction · 0.97
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