### Abstract

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.

Original language | English |
---|---|

Article number | 125012 |

Journal | Classical and Quantum Gravity |

Volume | 35 |

Issue number | 12 |

DOIs | |

Publication status | Published - 25 May 2018 |

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### Keywords

- black hole thermodynamics
- conserved charge
- cosmological constant
- thermodynamical volume

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*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.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 35, no. 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

VL - 35

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 12

M1 - 125012

ER -