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
Cosmological constant is a conserved charge. / Chernyavsky, Dmitry; Hajian, Kamal.
In: Classical and Quantum Gravity, Vol. 35, No. 12, 125012, 25.05.2018.Research output: Contribution to journal › Article
}
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 -