| Summary: | This research study investigates Barrow holographic dark energy with an energy density of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ρ</mi><mo>Λ</mo></msub><mo>=</mo><mi>C</mi><msup><mi>H</mi><mrow><mn>2</mn><mo>−</mo><mo>Δ</mo></mrow></msup></mrow></semantics></math></inline-formula> by considering the Hubble horizon as the IR cut-off in the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity framework. We employ Barrow holographic dark energy to obtain the equation of the state for the Barrow holographic energy density in a flat FLRW Universe. Concretely, we study the correspondence between quintessence, <i>k</i>-essence, and dilation scalar field models with the Barrow holographic dark energy in a flat <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></semantics></math></inline-formula> Universe. Furthermore, we reconstruct the dynamics and potential for all these models for different values of the Barrow parameter: <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Δ</mo></semantics></math></inline-formula>. Via this study, we can show that for Barrow holographic quintessence, <i>k</i>-essence, and dilation scalar field models, if the corresponding model parameters satisfy some limitations, the accelerated expansion can be achieved.
|
|---|