The gravitational energy-momentum for the super-energy Bel-Robinson tensor

2023/12/28 by Lau Loi So, So, Lau Loi
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Parallel Computing and Optimization Techniques

paper · pdf · doi:10.48550/arxiv.2312.16838

openalex publication_date 2023/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Describing the gravitational energy-momentum, the super-energy Bel-Robinson tensor is the best candidate. In the past, people seems only explore the lowest order: the electric part E_ab and magnetic part B_ab for the Riemann tensor. These two components are related with the static case, however, for the energy transfer situation, one may need to consider the time varying E_ab and B_ab. Here we use (E_ab,B_ab) to study the energy-momentum for the Bel-Robinson tensor in a small sphere limit. Meanwhile, our result illustrates how the gravitational field carries the 4-momentum including this extra information.

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