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PreprintCC0arXiv

Hamiltonian Analysis of the Newer General Relativity

  • Chen-Yi Sia
  • Tee-How Loo
  • Avik De
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Abstract

We present a systematic Hamiltonian analysis of the five-parameter class of theories known as Newer General Relativity. Quadratic nonmetricity theories of this type can be divided into nine types according to the structure of their primary constraints. After reviewing the framework of symmetric teleparallel gravity, we derive the ADM formulation of Newer General Relativity, discuss the existing classification and perform the Hamiltonian formulation of the theory. For each type, we compute the conjugate momenta, identify the primary constraints, and construct both the canonical and primary Hamiltonians. We then determine the constraint structure and analyze the resulting physical degrees of freedom in each type.

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Cite

BibTeXRIS
BibTeX
@misc{sia2026hamiltonian,
  title = {{Hamiltonian Analysis of the Newer General Relativity}},
  author = {Chen-Yi Sia and Tee-How Loo and Avik De},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.38372},
  eprint = {2610.38372},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.38372},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Hamiltonian Analysis of the Newer General Relativity
AU  - Chen-Yi Sia
AU  - Tee-How Loo
AU  - Avik De
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.38372
UR  - https://arxiv.org/abs/2610.38372
AB  - We present a systematic Hamiltonian analysis of the five-parameter class of theories known as Newer General Relativity. Quadratic nonmetricity theories of this type can be divided into nine types according to the structure of their primary constraints. After reviewing the framework of symmetric teleparallel gravity, we derive the ADM formulation of Newer General Relativity, discuss the existing classification and perform the Hamiltonian formulation of the theory. For each type, we compute the conjugate momenta, identify the primary constraints, and construct both the canonical and primary Hamiltonians. We then determine the constraint structure and analyze the resulting physical degrees of freedom in each type.
ER  -