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formal statement (Lean)
91noncomputable def einstein_hilbert_action
92 (g : MetricTensor) (M_P_squared : ℝ) (vol : VolumeElement) : ℝ :=
proof body
Definition body.
93 (M_P_squared / 2) * integrate_scalar (ricci_scalar g) g vol
94
95/-- For Minkowski (R=0), EH action vanishes. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (8)
Lean names referenced from this declaration's body.
-
MetricTensor
in IndisputableMonolith.Foundation.Hamiltonian
decl_use
-
MetricTensor
in IndisputableMonolith.Gravity.Connection
decl_use
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MetricTensor
in IndisputableMonolith.Meta.Homogenization
decl_use
-
integrate_scalar
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
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VolumeElement
in IndisputableMonolith.Relativity.Fields.Integration
decl_use
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ricci_scalar
in IndisputableMonolith.Relativity.Geometry.Curvature
decl_use
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MetricTensor
in IndisputableMonolith.Relativity.Geometry.Metric
decl_use
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VolumeElement
in IndisputableMonolith.Relativity.ILG.Action
decl_use