Extended black hole thermodynamics in a DGP braneworld
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908848050143232 |
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| author | Kumar, Naman |
| author_facet | Kumar, Naman |
| contents | We develop extended black-hole thermodynamics on a Dvali--Gabadadze--Porrati (DGP) brane by promoting the brane tension $σ$ to a thermodynamic variable within the extended Iyer--Wald framework. The brane tension acts as a localized vacuum energy with pressure $P_σ\equiv -σ$, yielding a new work term $V_σ\,\mathrm{d}P_σ$ in the first law and the corresponding Smarr relation. For static, spherically symmetric black holes we show that the conjugate volume equals the geometric volume $V_σ=\tfrac{4π}{3}r_h^3$; for stationary, axisymmetric solutions it admits a covariant, slice-independent definition and evaluates to $V_σ=\tfrac{4π}{3}\!\left(r_+^3+a^2 r_+\right)$. Working on the ghost-free normal branch, the brane is asymptotically flat with a single horizon, so the construction avoids de Sitter obstructions. Along a flat-brane path, asymptotic flatness is preserved by co-varying the bulk cosmological constant, and induced-gravity effects are suppressed by $r_h/r_c$. These results establish a consistent flat-braneworld realization of black-hole chemistry in which brane tension provides the physically motivated pressure variable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extended black hole thermodynamics in a DGP braneworld Kumar, Naman General Relativity and Quantum Cosmology High Energy Physics - Theory We develop extended black-hole thermodynamics on a Dvali--Gabadadze--Porrati (DGP) brane by promoting the brane tension $σ$ to a thermodynamic variable within the extended Iyer--Wald framework. The brane tension acts as a localized vacuum energy with pressure $P_σ\equiv -σ$, yielding a new work term $V_σ\,\mathrm{d}P_σ$ in the first law and the corresponding Smarr relation. For static, spherically symmetric black holes we show that the conjugate volume equals the geometric volume $V_σ=\tfrac{4π}{3}r_h^3$; for stationary, axisymmetric solutions it admits a covariant, slice-independent definition and evaluates to $V_σ=\tfrac{4π}{3}\!\left(r_+^3+a^2 r_+\right)$. Working on the ghost-free normal branch, the brane is asymptotically flat with a single horizon, so the construction avoids de Sitter obstructions. Along a flat-brane path, asymptotic flatness is preserved by co-varying the bulk cosmological constant, and induced-gravity effects are suppressed by $r_h/r_c$. These results establish a consistent flat-braneworld realization of black-hole chemistry in which brane tension provides the physically motivated pressure variable. |
| title | Extended black hole thermodynamics in a DGP braneworld |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.18508 |