Eddington's gravity in immersed spacetime

被引：12

作者：

Azri, Hemza ^{[1
]}

机构：

[1] Izmir Inst Technol, Dept Phys, TR-35430 Izmir, Turkey

来源：

CLASSICAL AND QUANTUM GRAVITY | 2015年 / 32卷 / 06期

关键词：

Eddington's gravity; purely affine gravity; immersed spacetime; cosmological constant; vacuum energy; hypercomplex structure; COSMOLOGICAL CONSTANT;

D O I：

10.1088/0264-9381/32/6/065009

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We formulate Eddington's affine gravity in a spacetime that is immersed in a larger eight-dimensional space endowed with a hypercomplex structure. The dynamical equation of the first immersed Ricci-type tensor leads to gravitational field equations which include matter. We also study the dynamical effects of the second Ricci-type tensor when added to the Lagrangian density. A simple Lagrangian density constructed from a combination of the standard Ricci tensor and a new tensor field that appears due to the immersion, leads to gravitational equations in which the vacuum energy gravitates with a different cosmological strength as in Demir (2014 Phys. Rev. D 90 064017), rather than with Newton's constant. As a result, the tiny observed curvature is reproduced due to large hierarchies rather than fine tuning.

引用

页数：12

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