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Modified gravity in Arnowitt-Deser-Misner formalism
Gao, Changjun1,2
Source PublicationPHYSICS LETTERS B
AbstractMotivated by Horava-Lifshitz gravity theory, we propose and investigate two kinds of modified gravity theories, the f(R) kind and the K-essence kind, in the Arnowitt-Deser-Misner (ADM) formalism. The f (R) kind includes one ultraviolet (UV) term and one infrared (IR) term together with the Einstein-Hilbert action. We find that these two terms naturally present the ultraviolet and infrared modifications to the Friedmann equation. The UV and IR modifications can avoid the past Big-Bang singularity and the future Big-Rip Singularity, respectively. Furthermore, the IR modification can naturally account for the current acceleration of the Universe. The Lagrangian of K-essence kind modified gravity is made up of the three-dimensional Ricci scalar and an arbitrary function of the extrinsic curvature term. We find the cosmic acceleration can also be naturally interpreted without invoking any kind of dark energy. The static, spherically symmetry and vacuum solutions of both theories are Schwarzschild or Schwarzschildde Sitter solution. Thus these modified gravity theories are viable for solar system tests. (C) 2010 Elsevier B.V. All rights reserved.
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WOS IDWOS:000274970500005
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Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.Chinese Acad Sci, Natl Astron Observ, Beijing 100012, Peoples R China
2.CAS, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Gao, Changjun. Modified gravity in Arnowitt-Deser-Misner formalism[J]. PHYSICS LETTERS B,2010,684(2-3):85-91.
APA Gao, Changjun.(2010).Modified gravity in Arnowitt-Deser-Misner formalism.PHYSICS LETTERS B,684(2-3),85-91.
MLA Gao, Changjun."Modified gravity in Arnowitt-Deser-Misner formalism".PHYSICS LETTERS B 684.2-3(2010):85-91.
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