Cosmological evolution and stability analysis in non-flat universe and Barrow holographic model of dark energy

• Published in: Astrophysics and space science 2023-03, Vol.368 (3), p.15, Article 15
• Main Authors: A, Remya, Pankaj, Sharma, Umesh Kumar, Ali, Nisha Muttathazhathu
• Format: Article
• Language: English
• Subjects: Astrobiology; Astronomy; Astrophysics; Astrophysics and Astroparticles; Big Bang theory; Cosmology; Dark energy; Data collection; Deceleration; Equations of state; Evolution; Holography; Mathematical models; Observations and Techniques; Parameters; Physics; Physics and Astronomy; Quintessence (cosmology); Red shift; Space Exploration and Astronautics; Space Sciences (including Extraterrestrial Physics; Stability analysis; Supernovae; Thermodynamics; Universe
• ISSN: 0004-640X; 1572-946X
• DOI: 10.1007/s10509-023-04174-6

We investigate the cosmological evolution of the Barrow holographic dark energy (BHDE) model in a non-flat universe using the FRW-metric with open and closed geometries. As a result, we use the dark energy density parameter, the deceleration parameter, and the equation of state (EoS) parameter to study cosmic evolution. We show that with the evolution of matter and dark energy eras, the scenario can properly represent the thermodynamics of the universe. The transition of the universe from a decelerated to an accelerated expansion phase is characterized by the dynamical properties of the deceleration parameter. Based on various values of Barrow exponents, we look into the equation of state parameter’s quintessence/phantom phenomena. The theoretical results are restricted using the most recent 30 H ( z ) data samples, spanning the redshift ( 0.07 ≤ z ≤ 1.965 ). The distance modulus was calculated using the current Union 2.1 collected data of category Ia Supernovae. The square of the sound speed is used to investigate the model’s stability.