Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Arnowitt–Deser–Misner decomposition | Statement: [ADM formalism, relatedTo, Arnowitt–Deser–Misner decomposition]

Target entity: Arnowitt–Deser–Misner decomposition
Context triple: [ADM formalism, relatedTo, Arnowitt–Deser–Misner decomposition]

• A. Wheeler–DeWitt equation
  The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
• B. Newman–Penrose formalism
  The Newman–Penrose formalism is a mathematical framework in general relativity that uses null tetrads and spin coefficients to simplify the analysis of spacetime geometry and gravitational radiation.
• C. Kasner solution
  The Kasner solution is an exact anisotropic vacuum solution to Einstein's field equations that describes a homogeneous but directionally dependent expanding (or contracting) universe in general relativity.
• D. Bondi–Metzner–Sachs symmetry
  Bondi–Metzner–Sachs symmetry is an infinite-dimensional group of asymptotic spacetime symmetries in general relativity that characterizes the gravitational field at null infinity, especially in the context of gravitational radiation.
• E. Reissner–Nordström metric
  The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Arnowitt–Deser–Misner decomposition
Target entity description: The Arnowitt–Deser–Misner decomposition is a Hamiltonian formulation of general relativity that splits spacetime into space and time, enabling canonical analysis and numerical simulations of gravitational systems.

• A. Wheeler–DeWitt equation
  The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
• B. Newman–Penrose formalism
  The Newman–Penrose formalism is a mathematical framework in general relativity that uses null tetrads and spin coefficients to simplify the analysis of spacetime geometry and gravitational radiation.
• C. Kasner solution
  The Kasner solution is an exact anisotropic vacuum solution to Einstein's field equations that describes a homogeneous but directionally dependent expanding (or contracting) universe in general relativity.
• D. Bondi–Metzner–Sachs symmetry
  Bondi–Metzner–Sachs symmetry is an infinite-dimensional group of asymptotic spacetime symmetries in general relativity that characterizes the gravitational field at null infinity, especially in the context of gravitational radiation.
• E. Reissner–Nordström metric
  The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
• F. None of above. chosen