Modified general relativity and dark matter

IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Gary Nash
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引用次数: 0

Abstract

Modified General Relativity (MGR) is the natural extension of General Relativity (GR). MGR explicitly uses the smooth regular line element vector field [Formula: see text], which exists in all Lorentzian spacetimes, to construct a connection-independent symmetric tensor that represents the energy–momentum of the gravitational field. It solves the problem of the nonlocalization of gravitational energy–momentum in GR, preserves the ontology of the Einstein equation, and maintains the equivalence principle. The line element field provides MGR with the extra freedom required to describe dark energy and dark matter. An extended Schwarzschild solution for the matter-free Einstein equation of MGR is developed, from which the Tully–Fisher relation is derived, and the gravitational energy density is calculated. The mass of the invisible matter halo of galaxy NGC 3198 calculated with MGR is identical to the result obtained from GR using a dark matter profile. Although dark matter in MGR is described geometrically, it has an equivalent representation as a particle with the property of a vector boson or a pair of fermions; the geometry of spacetime and the quantum nature of matter are linked together by the unit line element covectors that belong to both the Lorentzian metric and the spin-1 Klein–Gordon wave equation. The three classic tests of GR provide a comparison of the theories in the solar system and several parts of the cosmos. MGR provides the flexibility to describe inflation after the Big Bang and galactic anisotropies.
修正广义相对论和暗物质
改良广义相对论是广义相对论的自然延伸。MGR明确地使用存在于所有洛伦兹时空中的光滑正则线元矢量场[公式:见正文],来构造一个表示引力场的能量-动量的与连接无关的对称张量。它解决了GR中引力能量-动量的非局部化问题,保留了爱因斯坦方程的本体论,并保持了等价原理。线元素场为MGR提供了描述暗能量和暗物质所需的额外自由度。建立了MGR无物质爱因斯坦方程的扩展Schwarzschild解,导出了Tully–Fisher关系,并计算了引力能量密度。用MGR计算的NGC 3198星系不可见物质晕的质量与用暗物质剖面从GR获得的结果相同。虽然MGR中的暗物质是几何描述的,但它具有向量玻色子或一对费米子性质的粒子的等价表示;时空的几何结构和物质的量子性质通过属于洛伦兹度量和自旋为1的克莱因-戈登波动方程的单位线元素协进器联系在一起。GR的三个经典测试提供了太阳系和宇宙几个部分理论的比较。MGR提供了描述宇宙大爆炸后的膨胀和星系各向异性的灵活性。
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来源期刊
International Journal of Modern Physics D
International Journal of Modern Physics D 地学天文-天文与天体物理
CiteScore
3.80
自引率
9.10%
发文量
181
审稿时长
4-8 weeks
期刊介绍: Gravitation, astrophysics and cosmology are exciting and rapidly advancing fields of research. This journal aims to accommodate and promote this expansion of information and ideas and it features research papers and reviews on theoretical, observational and experimental findings in these fields. Among the topics covered are general relativity, quantum gravity, gravitational experiments, quantum cosmology, observational cosmology, particle cosmology, large scale structure, high energy astrophysics, compact objects, cosmic particles and radiation.
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