Phase Space Analysis of Barrow Agegraphic Dark Energy
Using the Barrow entropy and considering the timescale as IR cutoff, a new holographic dark energy model named Barrow agegraphic dark energy (BADE) was proposed. We use phase space analysis method to discuss the evolution of the universe in three different mode of BADE (<inline-formula><mat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-09-01
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| Series: | Universe |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-1997/8/9/467 |
| Summary: | Using the Barrow entropy and considering the timescale as IR cutoff, a new holographic dark energy model named Barrow agegraphic dark energy (BADE) was proposed. We use phase space analysis method to discuss the evolution of the universe in three different mode of BADE (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>; <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>=</mo><mn>3</mn><mi>α</mi><mi>H</mi><mo>(</mo><msub><mi>ρ</mi><mi>m</mi></msub><mo>+</mo><msub><mi>ρ</mi><mi>D</mi></msub><mo>)</mo></mrow></semantics></math></inline-formula>; <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>=</mo><mi>H</mi><mo>(</mo><mi>α</mi><msub><mi>ρ</mi><mi>m</mi></msub><mo>+</mo><mi>β</mi><msub><mi>ρ</mi><mi>D</mi></msub><mo>)</mo></mrow></semantics></math></inline-formula>). We find the attractor which represents the dark energy-dominated era exists in all cases. In the case <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mo>=</mo><mi>H</mi><mo>(</mo><mi>α</mi><msub><mi>ρ</mi><mi>m</mi></msub><mo>+</mo><mi>β</mi><msub><mi>ρ</mi><mi>D</mi></msub><mo>)</mo></mrow></semantics></math></inline-formula> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>, the attractor can behave as the cosmological constant, and these models can used to mimic the cosmological constant. |
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| ISSN: | 2218-1997 |