The Cosmological Constant as Event Horizon

General Relativity allows for a cosmological constant (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>) w...

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Main Author: Enrique Gaztanaga
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/2/300
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author Enrique Gaztanaga
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description General Relativity allows for a cosmological constant (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>) which has inspired models of cosmic Inflation and Dark Energy. We show instead that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>r</mi><mi mathvariant="sans-serif">Λ</mi></msub><mo>=</mo><msqrt><mrow><mn>3</mn><mo>/</mo><mi mathvariant="sans-serif">Λ</mi></mrow></msqrt></mrow></semantics></math></inline-formula> corresponds to an event horizon: a causal boundary term in the action. Our Universe is expanding inside its Schwarzschild radius <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>r</mi><mi>S</mi></msub><mo>=</mo><msub><mi>r</mi><mi mathvariant="sans-serif">Λ</mi></msub><mo>=</mo><mn>2</mn><mi>G</mi><mi>M</mi></mrow></semantics></math></inline-formula>, which could have originated from a uniform free falling cloud of mass <i>M</i> that collapsed as a Black Hole (BH) 25 Gyrs ago. Such a BH Universe allows for large-scale structure formation without the need of Inflation or Dark Energy.
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spelling doaj.art-fe3499180eb9458b8944946b2b6ed41a2023-11-23T22:16:24ZengMDPI AGSymmetry2073-89942022-02-0114230010.3390/sym14020300The Cosmological Constant as Event HorizonEnrique Gaztanaga0Institute of Space Sciences (ICE, CSIC), 08193 Barcelona, SpainGeneral Relativity allows for a cosmological constant (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>) which has inspired models of cosmic Inflation and Dark Energy. We show instead that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>r</mi><mi mathvariant="sans-serif">Λ</mi></msub><mo>=</mo><msqrt><mrow><mn>3</mn><mo>/</mo><mi mathvariant="sans-serif">Λ</mi></mrow></msqrt></mrow></semantics></math></inline-formula> corresponds to an event horizon: a causal boundary term in the action. Our Universe is expanding inside its Schwarzschild radius <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>r</mi><mi>S</mi></msub><mo>=</mo><msub><mi>r</mi><mi mathvariant="sans-serif">Λ</mi></msub><mo>=</mo><mn>2</mn><mi>G</mi><mi>M</mi></mrow></semantics></math></inline-formula>, which could have originated from a uniform free falling cloud of mass <i>M</i> that collapsed as a Black Hole (BH) 25 Gyrs ago. Such a BH Universe allows for large-scale structure formation without the need of Inflation or Dark Energy.https://www.mdpi.com/2073-8994/14/2/300cosmologyDark Energygeneral relativityblack holes
spellingShingle Enrique Gaztanaga
The Cosmological Constant as Event Horizon
Symmetry
cosmology
Dark Energy
general relativity
black holes
title The Cosmological Constant as Event Horizon
title_full The Cosmological Constant as Event Horizon
title_fullStr The Cosmological Constant as Event Horizon
title_full_unstemmed The Cosmological Constant as Event Horizon
title_short The Cosmological Constant as Event Horizon
title_sort cosmological constant as event horizon
topic cosmology
Dark Energy
general relativity
black holes
url https://www.mdpi.com/2073-8994/14/2/300
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