Dark Future for Dark Matter

• 作者: a Donald H. Eckhardt José Luis Garrido Pestañ
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Classical General Relativity General Relativity and Gravitation: Fundamental Problems and General Formalism Fundamental Aspects of Astrophysics Relativity and Gravitation Dark Energy Mathematical and Relativistic Aspects of Cosmology
• 年，卷（期）: 2020,（10）
• 页码范围: 1589-1597
• 页数: 9页
• 分类号: O17

摘要

The prevailing cosmological constant and cold dark matter (ΛCDM) cosmic concordance model accounts for the radial expansion of the universe after the Big Bang. The model appears to be authoritative because it is based on the Einstein gravitational field equation. However, a thorough scrutiny of the underlying theory calls into question the suitability of the field equation, which states that the Einstein tensor <strong><em>G</em></strong><span style="white-space:nowrap;">_{<em><span style="white-space:nowrap;">&mu;v</span></em>}</span> is a constant multiple of the stress-energy tensor <em> <strong>T</strong></em><span style="white-space:nowrap;">_{<em><span style="white-space:nowrap;">&mu;v</span></em>} </span>when they both are evaluated at the same 4D space-time point: <strong style="white-space:normal;"><em>G</em></strong>_{<em><span style="white-space:nowrap;">&mu;v</span> </em>}= 8<span style="white-space:nowrap;">&pi;</span>k<strong style="white-space:normal;"><em>T</em></strong>_{<em><span style="white-space:nowrap;">&mu;v</span></em>}, where k is the gravitational constant. Notwithstanding its venerable provenance, this equation is incorrect unless the cosmic pressure is <em>p</em> = 0;but then all that remains of the Einstein equation is the Poisson equation which models the Newtonian gravity field. This shortcoming is not resolved by adding the cosmological constant term to the field equation, <strong style="white-space:normal;"><em>G</em></strong>_{<em><span style="white-space:nowrap;">&mu;v</span> </em>}+<span style="white-space:nowrap;">Λ</span> <strong style="white-space:normal;"><em>g</em></strong>_{<em><span style="white-space:nowrap;">&mu;v</span> =<span style="white-space:normal;">8<span style="white-space:nowrap;">&pi;</span></span><span style="white-space:normal;">k</span><strong style="white-space:normal;"><em>T</em></strong><sub style="white-space:normal;"><em><span style="white-space:nowrap;">&mu;v</span></em>}<span style="white-space:norma