### Выдержка

Cosmological constant can always be considered as the on-shell value of a top form in gravitational theories. The top form is the field strength of a gauge field, and the theory enjoys a gauge symmetry. We show that cosmological constant is the charge of the global part of the gauge symmetry, and is conserved irrespective of the dynamics of the metric and other fields. In addition, we introduce its conjugate chemical potential, and prove the generalized first law of thermodynamics which includes variation of cosmological constant as a conserved charge. We discuss how our new term in the first law is related to the volume-pressure term. In parallel with the seminal Wald entropy, this analysis suggests that pressure can also be considered as a conserved charge.

Язык оригинала | Английский |
---|---|

Номер статьи | 125012 |

Журнал | Classical and Quantum Gravity |

Том | 35 |

Номер выпуска | 12 |

DOI | |

Состояние | Опубликовано - 25 мая 2018 |

### Отпечаток

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Цитировать

*Classical and Quantum Gravity*,

*35*(12), [125012]. https://doi.org/10.1088/1361-6382/aac39a

**Cosmological constant is a conserved charge.** / Chernyavsky, Dmitry; Hajian, Kamal.

Результат исследований: Материалы для журнала › Статья

*Classical and Quantum Gravity*, том. 35, № 12, 125012. https://doi.org/10.1088/1361-6382/aac39a

}

TY - JOUR

T1 - Cosmological constant is a conserved charge

AU - Chernyavsky, Dmitry

AU - Hajian, Kamal

PY - 2018/5/25

Y1 - 2018/5/25

N2 - Cosmological constant can always be considered as the on-shell value of a top form in gravitational theories. The top form is the field strength of a gauge field, and the theory enjoys a gauge symmetry. We show that cosmological constant is the charge of the global part of the gauge symmetry, and is conserved irrespective of the dynamics of the metric and other fields. In addition, we introduce its conjugate chemical potential, and prove the generalized first law of thermodynamics which includes variation of cosmological constant as a conserved charge. We discuss how our new term in the first law is related to the volume-pressure term. In parallel with the seminal Wald entropy, this analysis suggests that pressure can also be considered as a conserved charge.

AB - Cosmological constant can always be considered as the on-shell value of a top form in gravitational theories. The top form is the field strength of a gauge field, and the theory enjoys a gauge symmetry. We show that cosmological constant is the charge of the global part of the gauge symmetry, and is conserved irrespective of the dynamics of the metric and other fields. In addition, we introduce its conjugate chemical potential, and prove the generalized first law of thermodynamics which includes variation of cosmological constant as a conserved charge. We discuss how our new term in the first law is related to the volume-pressure term. In parallel with the seminal Wald entropy, this analysis suggests that pressure can also be considered as a conserved charge.

KW - black hole thermodynamics

KW - conserved charge

KW - cosmological constant

KW - thermodynamical volume

UR - http://www.scopus.com/inward/record.url?scp=85048049919&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85048049919&partnerID=8YFLogxK

U2 - 10.1088/1361-6382/aac39a

DO - 10.1088/1361-6382/aac39a

M3 - Article

AN - SCOPUS:85048049919

VL - 35

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 12

M1 - 125012

ER -