The well-tempered cosmological constant: fugue in B$^\flat$

Appleby, Stephen; Linder, Eric V.

doi:10.1088/1475-7516/2020/12/037

The well-tempered cosmological constant: fugue in B$$^\flat$$

Journal Article · Mon Dec 28 23:00:00 EST 2020 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2020/12/037· OSTI ID:1838149

Appleby, Stephen ^[1]; Linder, Eric V. ^[2]

Asia Pacific Center for Theoretical Physics, Pohang (Korea)
Univ. of California, Berkeley, CA (United States); Nazarbayev University, Nur-Sultan (Kazakhstan)

Zero point fluctuations of quantum fields should generate a large cosmological constant energy density in any spacetime. How then can we have anything other than de Sitter space without fine tuning? Well tempering—dynamical cancellation of the cosmological constant using degeneracy within the field equations— can replace a large cosmological constant with a much lower energy state. Here we give an explicit mechanism to obtain a Minkowski solution, replacing the cosmological constant with zero, and testing its attractor nature and persistence through a vacuum phase transition. We derive the general conditions that Horndeski scalar-tensor gravity must possess, and evolve in a fugue of functions, to deliver nothing and make the universe be flat.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1838149

Journal Information:: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 12 Vol. 2020; ISSN 1475-7516

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

References (42)

Second-order scalar-tensor field equations in a four-dimensional space Horndeski, Gregory Walter International Journal of Theoretical Physics, Vol. 10, Issue 6 https://doi.org/10.1007/bf01807638	journal	September 1974
Spherical cows in the sky with fab four Kaloper, Nemanja; Sandora, McCullen Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05 https://doi.org/10.1088/1475-7516/2014/05/028	journal	May 2014
Sequestering the Standard Model Vacuum Energy Kaloper, Nemanja; Padilla, Antonio Physical Review Letters, Vol. 112, Issue 9 https://doi.org/10.1103/physrevlett.112.091304	journal	March 2014
Sequestration of Vacuum Energy and the End of the Universe Kaloper, Nemanja; Padilla, Antonio Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/physrevlett.114.101302	journal	March 2015
From k-essence to generalised Galileons Deffayet, Cédric; Gao, Xian; Steer, Daniele A. arXiv https://doi.org/10.48550/arxiv.1103.3260	text	January 2011
On the cosmological constant problem Lombriser, Lucas arXiv https://doi.org/10.48550/arxiv.1901.08588	text	January 2019
Cosmological cancellation of the vacuum energy density Brax, Philippe; Valageas, Patrick arXiv https://doi.org/10.48550/arxiv.1903.04825	text	January 2019
Brane cosmology and the self-tuning of the cosmological constant Amariti, A.; Charmousis, C.; Forcella, D. arXiv https://doi.org/10.48550/arxiv.1904.02727	text	January 2019
Categorizing Different Approaches to the Cosmological Constant Problem Nobbenhuis, Stefan arXiv https://doi.org/10.48550/arxiv.gr-qc/0411093	text	January 2004
Second-order scalar-tensor field equations in a four-dimensional space Horndeski, Gregory Walter International Journal of Theoretical Physics, Vol. 10, Issue 6 https://doi.org/10.1007/BF01807638	journal	September 1974
Categorizing Different Approaches to the Cosmological Constant Problem Nobbenhuis, Stefan Foundations of Physics, Vol. 36, Issue 5 https://doi.org/10.1007/s10701-005-9042-8	journal	March 2006
Everything you always wanted to know about the cosmological constant problem (but were afraid to ask) Martin, Jérôme Comptes Rendus Physique, Vol. 13, Issue 6-7 https://doi.org/10.1016/j.crhy.2012.04.008	journal	July 2012
Purely kinetic coupled gravity Gubitosi, Giulia; Linder, Eric V. Physics Letters B, Vol. 703, Issue 2 https://doi.org/10.1016/j.physletb.2011.07.066	journal	September 2011
On the cosmological constant problem Lombriser, Lucas Physics Letters B, Vol. 797 https://doi.org/10.1016/j.physletb.2019.134804	journal	October 2019
Imperfect dark energy from kinetic gravity braiding Deffayet, Cédric; Pujolàs, Oriol; Sawicki, Ignacy Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 10 https://doi.org/10.1088/1475-7516/2010/10/026	journal	October 2010
Fab 5: noncanonical kinetic gravity, self tuning, and cosmic acceleration Appleby, Stephen A.; Felice, Antonio De; Linder, Eric V. Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 10 https://doi.org/10.1088/1475-7516/2012/10/060	journal	October 2012
The cosmology of the Fab-Four Copeland, Edmund J.; Padilla, Antonio; Saffin, Paul M. Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 12 https://doi.org/10.1088/1475-7516/2012/12/026	journal	December 2012
How fabulous is Fab 5 cosmology? Linder, Eric V. Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 12 https://doi.org/10.1088/1475-7516/2013/12/032	journal	December 2013
Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity Bellini, Emilio; Sawicki, Ignacy Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07 https://doi.org/10.1088/1475-7516/2014/07/050	journal	July 2014
Self tuning scalar fields in spherically symmetric spacetimes Appleby, Stephen Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05 https://doi.org/10.1088/1475-7516/2015/05/009	journal	May 2015
The screening Horndeski cosmologies Starobinsky, Alexei A.; Sushkov, Sergey V.; Volkov, Mikhail S. Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 06 https://doi.org/10.1088/1475-7516/2016/06/007	journal	June 2016
The well-tempered cosmological constant Appleby, Stephen; Linder, Eric V. Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 07 https://doi.org/10.1088/1475-7516/2018/07/034	journal	July 2018
Well-tempered cosmology Emond, William T.; Li, Chunhao; Saffin, Paul M. Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 05 https://doi.org/10.1088/1475-7516/2019/05/038	journal	May 2019
Brane cosmology and the self-tuning of the cosmological constant Amariti, A.; Charmousis, C.; Forcella, D. Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 10 https://doi.org/10.1088/1475-7516/2019/10/007	journal	October 2019
Stealth black holes in shift symmetric kinetic gravity braiding Bernardo, Reginald Christian; Celestial, John; Vega, Ian Physical Review D, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevD.101.024036	journal	January 2020
Local self-tuning mechanism for the cosmological constant Sobral Blanco, Daniel; Lombriser, Lucas Physical Review D, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevD.102.043506	journal	August 2020
Galileon as a local modification of gravity Nicolis, Alberto; Rattazzi, Riccardo; Trincherini, Enrico Physical Review D, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevD.79.064036	journal	March 2009
Covariant Galileon Deffayet, C.; Esposito-Farèse, G.; Vikman, A. Physical Review D, Vol. 79, Issue 8 https://doi.org/10.1103/PhysRevD.79.084003	journal	April 2009
From k -essence to generalized Galileons Deffayet, C.; Gao, Xian; Steer, D. A. Physical Review D, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevD.84.064039	journal	September 2011
Inflationary non-Gaussianities in the most general second-order scalar-tensor theories De Felice, Antonio; Tsujikawa, Shinji Physical Review D, Vol. 84, Issue 8 https://doi.org/10.1103/PhysRevD.84.083504	journal	October 2011
Generalized Galileon cosmology De Felice, Antonio; Tsujikawa, Shinji Physical Review D, Vol. 84, Issue 12 https://doi.org/10.1103/PhysRevD.84.124029	journal	December 2011
Self-tuning and the derivation of a class of scalar-tensor theories Charmousis, Christos; Copeland, Edmund J.; Padilla, Antonio Physical Review D, Vol. 85, Issue 10 https://doi.org/10.1103/PhysRevD.85.104040	journal	May 2012
Graceful exit for the cosmological constant damping scenario Evnin, Oleg; Nguyen, Kévin Physical Review D, Vol. 98, Issue 12 https://doi.org/10.1103/PhysRevD.98.124031	journal	December 2018
Cosmological cancellation of the vacuum energy density Brax, Philippe; Valageas, Patrick Physical Review D, Vol. 99, Issue 12 https://doi.org/10.1103/PhysRevD.99.123506	journal	June 2019
General Second-Order Scalar-Tensor Theory and Self-Tuning Charmousis, Christos; Copeland, Edmund J.; Padilla, Antonio Physical Review Letters, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevLett.108.051101	journal	January 2012
Sequestering the Standard Model Vacuum Energy Kaloper, Nemanja; Padilla, Antonio Physical Review Letters, Vol. 112, Issue 9 https://doi.org/10.1103/PhysRevLett.112.091304	journal	March 2014
Sequestration of Vacuum Energy and the End of the Universe Kaloper, Nemanja; Padilla, Antonio Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/PhysRevLett.114.101302	journal	March 2015
Manifestly Local Theory of Vacuum Energy Sequestering Kaloper, Nemanja; Padilla, Antonio; Stefanyszyn, David Physical Review Letters, Vol. 116, Issue 5 https://doi.org/10.1103/PhysRevLett.116.051302	journal	February 2016
The cosmological constant problem Weinberg, Steven Reviews of Modern Physics, Vol. 61, Issue 1 https://doi.org/10.1103/RevModPhys.61.1	journal	January 1989
The case for a Positive Cosmological Λ-Term Sahni, Varun; Starobinsky, Alexei International Journal of Modern Physics D, Vol. 09, Issue 04 https://doi.org/10.1142/S0218271800000542	journal	August 2000
Generalized G-Inflation: --Inflation with the Most General Second-Order Field Equations-- Kobayashi, T.; Yamaguchi, M.; Yokoyama, J. Progress of Theoretical Physics, Vol. 126, Issue 3 https://doi.org/10.1143/PTP.126.511	journal	September 2011
The Cosmological Constant Carroll, Sean M. Living Reviews in Relativity, Vol. 4, Issue 1 https://doi.org/10.12942/lrr-2001-1	journal	February 2001

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