Baryon Physics and Tight Coupling Approximation in Boltzmann Codes
We provide two derivations of the baryonic equations that can be straightforwardly implemented in existing Einstein−Boltzmann solvers. One of the derivations begins with an action principle, while the other exploits the conservation of the stress-energy tensor. While our result is manifest...
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| Format: | Article |
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MDPI AG
2019-12-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/6/1/6 |
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| author | Masroor C. Pookkillath Antonio De Felice Shinji Mukohyama |
| author_facet | Masroor C. Pookkillath Antonio De Felice Shinji Mukohyama |
| author_sort | Masroor C. Pookkillath |
| collection | DOAJ |
| description | We provide two derivations of the baryonic equations that can be straightforwardly implemented in existing Einstein−Boltzmann solvers. One of the derivations begins with an action principle, while the other exploits the conservation of the stress-energy tensor. While our result is manifestly covariant and satisfies the Bianchi identities, we point out that this is not the case for the implementation of the seminal work by Ma and Bertschinger and in the existing Boltzmann codes. We also study the tight coupling approximation up to the second order without choosing any gauge using the covariant full baryon equations. We implement the improved baryon equations in a Boltzmann code and investigate the change in the estimate of cosmological parameters by performing an MCMC analysis. With the covariantly correct baryon equations of motion, we find <inline-formula> <math display="inline"> <semantics> <mrow> <mn>1</mn> <mo>%</mo> </mrow> </semantics> </math> </inline-formula> deviation for the best fit values of the cosmological parameters that should be taken into account. While in this paper, we study the <inline-formula> <math display="inline"> <semantics> <mo>Λ</mo> </semantics> </math> </inline-formula>CDM model only, our baryon equations can be easily implemented in other models and various modified gravity theories. |
| first_indexed | 2024-04-13T08:30:04Z |
| format | Article |
| id | doaj.art-6e291ff49fbf47ca8e891dc574fae23e |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-13T08:30:04Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-6e291ff49fbf47ca8e891dc574fae23e2022-12-22T02:54:16ZengMDPI AGUniverse2218-19972019-12-0161610.3390/universe6010006universe6010006Baryon Physics and Tight Coupling Approximation in Boltzmann CodesMasroor C. Pookkillath0Antonio De Felice1Shinji Mukohyama2Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, JapanCenter for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, JapanCenter for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, JapanWe provide two derivations of the baryonic equations that can be straightforwardly implemented in existing Einstein−Boltzmann solvers. One of the derivations begins with an action principle, while the other exploits the conservation of the stress-energy tensor. While our result is manifestly covariant and satisfies the Bianchi identities, we point out that this is not the case for the implementation of the seminal work by Ma and Bertschinger and in the existing Boltzmann codes. We also study the tight coupling approximation up to the second order without choosing any gauge using the covariant full baryon equations. We implement the improved baryon equations in a Boltzmann code and investigate the change in the estimate of cosmological parameters by performing an MCMC analysis. With the covariantly correct baryon equations of motion, we find <inline-formula> <math display="inline"> <semantics> <mrow> <mn>1</mn> <mo>%</mo> </mrow> </semantics> </math> </inline-formula> deviation for the best fit values of the cosmological parameters that should be taken into account. While in this paper, we study the <inline-formula> <math display="inline"> <semantics> <mo>Λ</mo> </semantics> </math> </inline-formula>CDM model only, our baryon equations can be easily implemented in other models and various modified gravity theories.https://www.mdpi.com/2218-1997/6/1/6cosmological perturbation theorycmbr theorycosmological parameters |
| spellingShingle | Masroor C. Pookkillath Antonio De Felice Shinji Mukohyama Baryon Physics and Tight Coupling Approximation in Boltzmann Codes Universe cosmological perturbation theory cmbr theory cosmological parameters |
| title | Baryon Physics and Tight Coupling Approximation in Boltzmann Codes |
| title_full | Baryon Physics and Tight Coupling Approximation in Boltzmann Codes |
| title_fullStr | Baryon Physics and Tight Coupling Approximation in Boltzmann Codes |
| title_full_unstemmed | Baryon Physics and Tight Coupling Approximation in Boltzmann Codes |
| title_short | Baryon Physics and Tight Coupling Approximation in Boltzmann Codes |
| title_sort | baryon physics and tight coupling approximation in boltzmann codes |
| topic | cosmological perturbation theory cmbr theory cosmological parameters |
| url | https://www.mdpi.com/2218-1997/6/1/6 |
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