Added relativistic mechanics.

config/en/mkdocs.yaml

@@ -129,6 +129,7 @@ nav:
       - 'Differential manifolds': mathematics/differential-geometry/differential-manifolds.md
       - 'Tangent spaces': mathematics/differential-geometry/tangent-spaces.md
       - 'Transformations': mathematics/differential-geometry/transformations.md
+      - 'Lengths and volumes': mathematics/differential-geometry/lenghts-and-volumes.md
       - 'Linear connections': mathematics/differential-geometry/linear-connections.md
       - 'Derivatives': mathematics/differential-geometry/derivatives.md
       - 'Torsion': mathematics/differential-geometry/torsion.md
@@ -136,25 +137,30 @@ nav:
 
   - 'Physics':
     - physics/index.md
-    - 'Mechanics':
+    - 'Classical Mechanics':
       - 'Newtonian mechanics':
-        - 'Newtonian formalism': physics/mechanics/newtonian-mechanics/newtonian-formalism.md
-        - 'Momentum': physics/mechanics/newtonian-mechanics/momentum.md
-        - 'Energy': physics/mechanics/newtonian-mechanics/energy.md
-        - 'Rotation': physics/mechanics/newtonian-mechanics/rotation.md
-        - 'Particle systems': physics/mechanics/newtonian-mechanics/particle-systems.md
+        - 'Newtonian formalism': physics/classical-mechanics/newtonian-mechanics/newtonian-formalism.md
+        - 'Momentum': physics/classical-mechanics/newtonian-mechanics/momentum.md
+        - 'Energy': physics/classical-mechanics/newtonian-mechanics/energy.md
+        - 'Rotation': physics/classical-mechanics/newtonian-mechanics/rotation.md
+        - 'Particle systems': physics/classical-mechanics/newtonian-mechanics/particle-systems.md
       - 'Lagrangian mechanics':
-        - 'Lagrangian formalism': physics/mechanics/lagrangian-mechanics/lagrangian-formalism.md
-        - 'Lagrange equations': physics/mechanics/lagrangian-mechanics/lagrange-equations.md
-        - 'Lagrange generalizations': physics/mechanics/lagrangian-mechanics/lagrange-generalizations.md
+        - 'Lagrangian formalism': physics/classical-mechanics/lagrangian-mechanics/lagrangian-formalism.md
+        - 'Lagrange equations': physics/classical-mechanics/lagrangian-mechanics/lagrange-equations.md
+        - 'Lagrange generalizations': physics/classical-mechanics/lagrangian-mechanics/lagrange-generalizations.md
         - 'Applications':
-          - 'Celestial mechanics': physics/mechanics/lagrangian-mechanics/applications/celestial-mechanics.md
-          - 'Oscillations': physics/mechanics/lagrangian-mechanics/applications/oscillations.md
+          - 'Celestial mechanics': physics/classical-mechanics/lagrangian-mechanics/applications/celestial-mechanics.md
+          - 'Oscillations': physics/classical-mechanics/lagrangian-mechanics/applications/oscillations.md
       - 'Hamiltonian mechanics': 
-        - 'Hamiltonian formalism': physics/mechanics/hamiltonian-mechanics/hamiltonian-formalism.md
-        - 'Equations of Hamilton': physics/mechanics/hamiltonian-mechanics/equations-of-hamilton.md
-#      - 'Relativistic mechanics':
+        - 'Hamiltonian formalism': physics/classical-mechanics/hamiltonian-mechanics/hamiltonian-formalism.md
+        - 'Equations of Hamilton': physics/classical-mechanics/hamiltonian-mechanics/equations-of-hamilton.md
+    - 'Relativistic mechanics':
+      - 'Relativistic formalism': physics/relativistic-mechanics/relativistic-formalism.md
+      - 'Schwarzschild geometry': physics/relativistic-mechanics/schwarzschild-geometry.md
+      - 'Kerr geometry': physics/relativistic-mechanics/kerr-geometry.md
+      - 'Wave geometry': physics/relativistic-mechanics/wave-geometry.md
 #    - 'Quantum mechanics':
+#    - 'Statistical mechanics'
     - 'Electromagnetism': 
 #      - 'Electrostatics':
 #      - 'Magnetostatics': 
@@ -168,7 +174,9 @@ nav:
         - 'Interference': physics/electromagnetism/optics/interference.md
         - 'Diffraction': physics/electromagnetism/optics/diffraction.md
         - 'Polarisation': physics/electromagnetism/optics/polarisation.md
-#   - 'Statistical physics':
+#   - 'Thermodynamics':
+#     - 'Classical thermodynamics'
+#     - 'Statistical thermodynamics'
     - 'Mathematical physics': 
       - 'Error analysis': 
         - 'Error analysis formalism': physics/mathematical-physics/error-analysis/formalism.md

docs/en/physics/classical-mechanics/hamiltonian-mechanics/hamiltonian-formalism.md

@@ -1,4 +1,4 @@
-# Hamiltonian formalism
+# Hamiltonian formalism of mechanics
 
 The Hamiltonian formalism of mechanics is based on the definitions posed by [Lagrangian mechanics](/en/physics/mechanics/lagrangian-mechanics/lagrangian-formalism) and the axioms, postulates and principles posed in the [Newtonian formalism](/en/physics/mechanics/newtonian-mechanics/newtonian-formalism/). 
 

docs/en/physics/classical-mechanics/lagrangian-mechanics/lagrangian-formalism.md

@@ -1,4 +1,4 @@
-# Lagrangian formalism
+# Lagrangian formalism of mechanics
 
 The Lagrangian formalism of mechanics is based on the axioms, postulates and principles posed in the [Newtonian formalism](/en/physics/mechanics/newtonian-mechanics/newtonian-formalism/).
 

docs/en/physics/classical-mechanics/newtonian-mechanics/newtonian-formalism.md

@@ -1,4 +1,4 @@
-# Newtonian formalism
+# Newtonian formalism of mechanics
 
 ## Fundamental assumptions
 

docs/en/physics/relativistic-mechanics/kerr-geometry.md

@@ -0,0 +1 @@
+# Kerr geometry

docs/en/physics/relativistic-mechanics/relativistic-formalism.md

@@ -0,0 +1,12 @@
+# Relativistic formalism of mechanics
+
+From now on, we refer to space and time as spacetime. 
+
+## Fundamental assumptions
+
+> *Postulate 1*: spacetime is continuous, homogenous and isotropic.
+
+aaa.
+
+> *Postulate 2*: there exists a [neighbourhood]() of a point in spacetime in which the axioms of [Euclidean]() geometry hold.
+

docs/en/physics/relativistic-mechanics/schwarzschild-geometry.md

@@ -0,0 +1 @@
+# Schwarzschild geometry

docs/en/physics/relativistic-mechanics/wave-geometry.md

@@ -0,0 +1 @@
+# Wave geometry