A
Anonymous05/15/26, 07:27No.16976392Horizon model
Action of the system:
S = ∫ d^4x √(-g) [
R/(16πG)
+ 1/2 (∇Γ)^2
- V(Γ; s)
+ 1/2 (∇s)^2
- U(s)
+ L_rad
]
Potentials:
V(Γ; s) =
(α/2)(s_crit - s) Γ^2
+ (β/4) Γ^4
+ (λ/6) Γ^6
U(s) = (γ/2)(s - s_eq)^2
Energy-momentum tensor:
T_{μν} =
∇_μΓ ∇_νΓ
- g_{μν}[1/2(∇Γ)^2 + V(Γ; s)]
+ ∇_μs ∇_νs
- g_{μν}[1/2(∇s)^2 + U(s)]
Field equations (schematic):
□Γ + α(s_crit - s)Γ + βΓ^3 + λΓ^5 = 0
□s + ∂V/∂s + ∂U/∂s + backreaction(Γ) = 0
Einstein equation:
G_{μν} = 8πG T_{μν}
0