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相关论文: Testing the $f(R)$-theory of gravity

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Exact solutions of an $ f(R) $-theory (of gravity) in a static central (gravitational) field have been studied in the literature quite well, but, to find and study exact solutions in the case of a non-static central field are not easy at…

广义相对论与量子宇宙学 · 物理学 2019-10-30 Nguyen Anh Ky , Pham Van Ky , Nguyen Thi Hong Van

This review explores modified theories of gravity, particularly $f(R)$ gravity, as extensions to General Relativity (GR) that offer alternatives to dark energy for explaining cosmic acceleration. These models generalize the Einstein-Hilbert…

广义相对论与量子宇宙学 · 物理学 2025-03-05 Rafid H. Dejrah

We review recent progress in the construction of modified gravity models as alternatives to dark energy as well as the development of cosmological tests of gravity. Einstein's theory of General Relativity (GR) has been tested accurately…

宇宙学与河外天体物理 · 物理学 2016-03-24 Kazuya Koyama

Einstein's theory of general relativity (GR) provides the best available description of gravity. The recent detection of gravitational waves and the first picture of a black hole have provided spectacular confirmations of GR, as well as…

物理教育 · 物理学 2020-08-26 Jorge Pinochet

Einstein's general theory of relativity is the standard theory of gravity, especially where the needs of astronomy, astrophysics, cosmology and fundamental physics are concerned. As such, this theory is used for many practical purposes…

广义相对论与量子宇宙学 · 物理学 2011-08-17 Slava G. Turyshev

We investigate the linearized form of metric f(R)-gravity, assuming that f(R) is analytic about R = 0 so it may be expanded as f(R) = R + a_2 R^2/2 + ... . Gravitational radiation is modified, admitting an extra mode of oscillation, that of…

广义相对论与量子宇宙学 · 物理学 2012-03-30 Christopher P. L. Berry , Jonathan R. Gair

Einstein's general theory of relativity is the standard theory of gravity, especially where the needs of astronomy, astrophysics, cosmology and fundamental physics are concerned. As such, this theory is used for many practical purposes…

广义相对论与量子宇宙学 · 物理学 2013-01-15 Slava G. Turyshev

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We review recent developments in modified gravity theories, focusing on higher dimensional approaches and…

宇宙学与河外天体物理 · 物理学 2015-05-18 Bhuvnesh Jain , Justin Khoury

In order to test the Einstein gravitation theory (EGT) we compare their predictions with the measured results in the following phenomena: the perihelion advance of planets, deflection of light, radar echo delays around the Sun and an…

广义相对论与量子宇宙学 · 物理学 2010-07-02 M. Cattani

The Einstein-Hilbert action of general theory of relativity (GR) is the integral of the scalar curvature $R$. It is a theory that is drawn from the Equivalence principle, and has predictions that come out as a consequence of the principle,…

广义相对论与量子宇宙学 · 物理学 2022-07-15 Soham Bhattacharyya

It is well known that Einstein's General Relativity (GR) achieved a great success and overcame lots of experimental tests. On the other hand, GR also showed some shortcomings and flaws which today advise theorists to ask if it is the…

广义相对论与量子宇宙学 · 物理学 2010-04-09 Christian Corda

The fact that the gravitation could deflect the light trajectory has been confirmed by a large number of observation data, that is consistent with the result calculated by Einstein's gravity. F(R)-gravity is the modification of Einstein's…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Long Huang , Feng He , Hai Huang , Min Yao

General Relativity is today the best theory of gravity addressing a wide range of phenomena. Our understanding of physical laws, from cosmology to local scales, cannot be properly formulated without taking into account it. It is based on…

广义相对论与量子宇宙学 · 物理学 2020-06-16 G. M. Tino , L. Cacciapuoti , S. Capozziello , G. Lambiase , F. Sorrentino

In Einstein's general relativity (GR), gravity is described by a massless spin-2 metric field, and the extension of GR to include a mass term for the graviton has profound implication for gravitation and cosmology. Besides the gravity…

广义相对论与量子宇宙学 · 物理学 2021-03-23 Lijing Shao

The debate on gravity theories to extend or modify General Relativity is very active today because of the issues related to ultra-violet and infra-red behavior of Einstein's theory. In the first case, we have to address the Quantum Gravity…

It is shown that Birkhoff's theorem for the general theory of relativity is overcome in the $f(R)$-theory of gravitation. That means, the $f(R)$-theory of gravitation, unlike Einstein's general theory of relativity, does not forbid…

广义相对论与量子宇宙学 · 物理学 2024-04-18 Pham Van Ky , Nguyen Thi Hong Van , Nguyen Anh Ky

The $f(R)$ theory of gravitation developed perturbatively around the general theory of relativity with cosmological constant (the \text{$\Lambda$}CDM model) in a flat FLWR geometry is considered. As a result, a general explicit cosmological…

广义相对论与量子宇宙学 · 物理学 2025-02-25 Pham Van Ky , Nguyen Thi Hong Van , Nguyen Anh Ky

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

偏微分方程分析 · 数学 2014-12-30 Philippe G. LeFloch , Yue Ma

Perturbative techniques are important for modified theories of gravity since they allow to calculate deviations from General Relativity without recurring to exact solutions, which can be difficult to find. When applied to models such as…

广义相对论与量子宇宙学 · 物理学 2020-03-18 Daniel Molano , Fabián Darío Villalba , Leonardo Castañeda , Pedro Bargueño

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Thomas P. Sotiriou , Valerio Faraoni
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