Journal of Holography Applications in Physics
Analytic Correspondence between Barrow Holographic Dark Energy and f(Q) Gravity
Document Type : Regular article
Author
School of Physics, Damghan University, Damghan, P.O.Box 36716-45667, Iran.
Abstract
We investigate Barrow holographic dark energy within the framework of symmetric teleparallel $f(Q)$ gravity at the homogeneous background level. Adopting a reconstruction viewpoint, we require the effective geometric energy density of $f(Q)$ gravity to reproduce the Barrow holographic scaling when the Hubble radius is chosen as the infrared cutoff. This condition uniquely determines a simple analytic power-law form for the nonmetricity scalar in the gravitational Lagrangian, with the Barrow deformation parameter directly fixing the exponent. The reconstructed action smoothly reduces to the symmetric teleparallel equivalent of general relativity in the limit of vanishing Barrow correction $\Delta$. We analyze the background cosmological behavior in the presence of pressureless matter and show that, for $0<\Delta<1$, the modified scaling admits an asymptotic de Sitter solution, while the standard $\Delta=0$ case does not yield self-acceleration with the Hubble cutoff. Our results establish a minimal analytic embedding of Barrow holographic dark energy into nonmetricity-based modified gravity and provide a transparent geometric interpretation of the Barrow deformation parameter.
Keywords
Main Subjects
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[30] D. A. Gomes, J. Beltrán Jiménez, A. Jiménez-Cano and T. S. Koivisto, “Pathological character of modifications to coincident general relativity: Cosmological strong coupling and ghosts in f(Q) theories,” Phys. Rev. Lett. 132, 141401 (2024). DOI: 10.1103/PhysRevLett.132.141401
[31] M. Asghari and A. Sheykhi, “Observational constraints of the modified cosmology through Barrow entropy,” Eur. Phys. J. C 82, 388 (2022). DOI: 10.1140/epjc/s10052- 022-10262-8
[32] B. Pourhassan, H. Farahani, F. Kazemian, İ. Sakalli, S. Upadhyay and D. V. Singh, “Non-perturbative correction on the black hole geometry,” Phys. Dark Univ.44, 101444 (2024). DOI: 10.1016/j.dark.2024.101444
[33] E. Sucu, İ. Sakalli, Ö. Sert and Y. Sucu, “Quantum-corrected thermodynamics and plasma lensing in non-minimally coupled symmetric teleparallel black holes,” Phys. Dark Univ. 50, 102063 (2025). DOI: 10.1016/j.dark.2025.102063
[2] L. Susskind, “The world as a hologram,” J. Math. Phys. 36, 6377 (1995), arXiv:hepth/9409089. DOI: 10.1063/1.531249
[3] M. Li, “A model of holographic dark energy,” Phys. Lett. B 603, 1 (2004), arXiv:hepth/0403127. DOI: 10.1016/j.physletb.2004.10.014
[4] J. D. Barrow, “The area of a rough black hole,” Phys. Lett. B 808, 135643 (2020), arXiv:2004.09444 [gr-qc]. DOI: 10.1016/j.physletb.2020.135643
[5] S. Di Gennaro, H. Xu and Y. C. Ong, “How barrow entropy modifies gravity: with comments on Tsallis entropy,” Eur. Phys. J. C 82, 1066 (2022). DOI: 10.1140/epjc/s10052- 022-11040-2
[6] E. N. Saridakis, “Barrow holographic dark energy,” Phys. R. D 102, 123525 (2020), arXiv:2005.04115 [gr-qc]. DOI: 10.1103/PhysRevD.102.123525
[7] C. Tsallis, “Possible generalization of Boltzmann–Gibbs statistics,” J. Stat. Phys. 52, 479 (1988). DOI: 10.1007/BF01016429
[8] B. Pourhassan and İ. Sakalli, “Non-perturbative correction to the Hořava– Lifshitz black hole thermodynamics,” Chin. J. Phys. 79, 322–338 (2022). DOI: 10.1016/j.cjph.2022.09.006
[9] G. G. Luciano, “Constraining barrow entropy-based cosmology with power-law inflation,” Eur. Phys. J. C 83, 329 (2023). DOI: 10.1140/epjc/s10052-023-11499-7
[10] P. Jizba, G. Lambiase, G. G. Luciano and L. Mastrototaro, “Imprints of Barrow–Tsallis cosmology in primordial gravitational waves,” Eur. Phys. J. C 84, 1076 (2024). DOI: 10.1140/epjc/s10052-024-13455-5
[11] S. Nojiri, S. D. Odintsov and T. Paul, “Barrow entropic dark energy: A member of generalized holographic dark energy family,” Phys. Lett. B 825, 136844 (2022). DOI: 10.1016/j.physletb.2021.136844
[12] J. Beltrán Jiménez, L. Heisenberg, and T. Koivisto, “Coincident General Relativity,” Phys. Rev. D 98, 044048 (2018), arXiv:1710.03116 [gr-qc]. DOI: 10.1103/PhysRevD.98.044048
[13] J. Beltrán Jiménez, L. Heisenberg and T. Koivisto, “The geometrical trinity of gravity,” Universe 5, 173 (2019), arXiv:1903.06830 [gr-qc]. DOI: 10.3390/universe5070173
[14] D. Zhao, “Covariant formulation of f(Q) theory,” Eur. Phys. J. C 82, 303 (2022), arXiv:2104.02483 [gr-qc]. DOI: 10.1140/epjc/s10052-022-10266-4
[15] J. Beltrán Jiménez, L. Heisenberg, T. S. Koivisto and S. Pekar “Cosmology in f(Q) geometry,” Phys. Rev. D 101, 103507 (2020), arXiv:1906.10027 [gr-qc]. DOI: 10.1103/PhysRevD.101.103507
[16] W. Khyllep, A. Paliathanasis, and J. Dutta, “Cosmological solutions and growth index of matter perturbations in f(Q) gravity,” Phys. Rev. D 103, 103521 (2021), arXiv:2103.08372 [gr-qc]. DOI: 10.1103/PhysRevD.103.103521
[17] I. Ayuso, R. Lazkoz, and V. Salzano, “Observational constraints on cosmological solutions of f(Q) theories,” Phys. Rev. D 103, 063505 (2021), arXiv:2012.00046 [astroph.CO]. DOI: 10.1103/PhysRevD.103.063505
[18] N. Banerjee and D. Pavon, “Holographic dark energy in Brans-Dicke theory,” Phys. Lett. B 647, 477 (2007), arXiv:gr-qc/0702110. DOI: 10.1016/j.physletb.2007.02.035
[19] M. J. S. Houndjo and O. F. Piattella, “Reconstructing f(R, T ) gravity from holographic dark energy,” Int. J. Mod. Phys. D 21, 1250024 (2012), arXiv:1111.4275 [gr-qc]. DOI: 10.1142/S0218271812500241
[20] K. Karami and A. Abdolmaleki, “f(T ) modified teleparallel gravity as an alternative for holographic and new agegraphic dark energy models,” Res. Astron. Astrophys. 13, 757 (2013), arXiv:1009.2459 [gr-qc]. DOI: 10.1088/1674-4527/13/7/001
[21] A. Jawad, A. Pasqua and S. Chattopadhyay, “Holographic reconstruction of f(G) gravity for scale factors pertaining to emergent, logamediate and intermediate scenarios,” Eur. Phys. J. C 128, 156 (2013), arXiv:1405.0729 [gr-qc]. DOI: 10.1140/epjp/i2013- 13156-3
[22] M. Sharif and A. Ikram, “Cosmic evolution of holographic dark energy in f(G, T ) gravity,” Ad. High Energy Phys. 2019, 1873804 (2019), arXiv:1902.05925 [gr-qc]. DOI: 10.1155/2019/1873804
[23] M. Koussour, H. Filali, S.H. Shekh and M. Bennai, “Holographic dark energy in modified Gauss-Bonnet gravity with Granda-Oliveros cut-off,” Nucl. Phys. B978, 115738 (2022), arXiv:2202.06737 [gr-qc]. DOI: 10.1016/j.nuclphysb.2022.115738
[24] A. Y. Shaikh, D. P. Tadas and S. D. Katore, “An oscillating holographic dark energy in f(R) gravity,” Bulg. J. Phys. 50, 190 (2023), arXiv:2305.11416 [gr-qc]. DOI: 10.55318/bgjp.2023.50.2.190
[25] M. Koussour, S. H. Shekh, H. Filali and M. Bennai, “Barrow holographic dark energy models in f(Q) symmetric teleparallel gravity with Lambert function distribution,” Int. J. Geom. Meth. Mod. Phys. 20 2350019 (2023), arXiv:2209.00341 [gr-qc]. DOI: 10.1142/S0219887823500196
[26] P. M. Parkhi and S. Kotambkar, “Holographic Dark Energy Models in FRW Universe from Parametrization of q with f(Q, T ) Gravity,” JHAP 5, 95 (2025). DOI: 10.22128/jhap.2025.3054.1134
[27] X. Zhang, X. Yang, Y. Ren, S. Chen, Y. Shi, C. Cheng and X. He, “Holographic dark energy models in f(Q, T ) gravity and cosmic constraint,” arXiv:2506.17933 [astroph.CO].
[28] F. K. Anagnostopoulos, S. Basilakos and E. N. Saridakis, “Observational constraints on Barrow holographic dark energy,” Eur. Phys. J. C 80, 826 (2020). DOI: 10.1140/epjc/s10052-020-8360-5
[29] A. Oliveros, M. A. Sabogal and Mario A. Acero, “Barrow holographic dark energy with Granda–Oliveros cutoff,” Eur. Phys. J. Plus 137, 783 (2022). ffDOI: 10.1140/epjp/s13360-022-02994-z
[30] D. A. Gomes, J. Beltrán Jiménez, A. Jiménez-Cano and T. S. Koivisto, “Pathological character of modifications to coincident general relativity: Cosmological strong coupling and ghosts in f(Q) theories,” Phys. Rev. Lett. 132, 141401 (2024). DOI: 10.1103/PhysRevLett.132.141401
[31] M. Asghari and A. Sheykhi, “Observational constraints of the modified cosmology through Barrow entropy,” Eur. Phys. J. C 82, 388 (2022). DOI: 10.1140/epjc/s10052- 022-10262-8
[32] B. Pourhassan, H. Farahani, F. Kazemian, İ. Sakalli, S. Upadhyay and D. V. Singh, “Non-perturbative correction on the black hole geometry,” Phys. Dark Univ.44, 101444 (2024). DOI: 10.1016/j.dark.2024.101444
[33] E. Sucu, İ. Sakalli, Ö. Sert and Y. Sucu, “Quantum-corrected thermodynamics and plasma lensing in non-minimally coupled symmetric teleparallel black holes,” Phys. Dark Univ. 50, 102063 (2025). DOI: 10.1016/j.dark.2025.102063
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Volume 6, Issue 4
May 2026Pages 217-231
- Receive Date: 28 December 2025
- Revise Date: 21 February 2026
- Accept Date: 15 March 2026