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We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivative theory, just like Einstein's gravity, has only a massless…

高能物理 - 理论 · 物理学 2016-04-25 Atalay Karasu , Esin Kenar , Bayram Tekin

If the presence of a gravitational field breaks the Lorentz symmetry valid for special relativity, an "absolute motion" might be detectable. We summarize a scalar theory of gravity with a such "ether", which starts from a tentative…

综合物理 · 物理学 2011-12-09 Mayeul Arminjon

A class of theories of gravity based on a Lagrangian which depends on the curvature and metric - but not on the derivatives of the curvature tensor - is of interest in several contexts including in the development of the paradigm that…

广义相对论与量子宇宙学 · 物理学 2013-05-29 T. Padmanabhan

It is well known that, making the Abelian projection of Einstein's theory one can obtain the restricted gravity which is simpler than Einstein's theory but describes the core dynamics of Einstein's gravity. In this paper we present the…

广义相对论与量子宇宙学 · 物理学 2025-03-10 S. H. Oh , Sangwoo Kim , Y. M. Cho

The Einstein theory of general relativity provides a peculiar example of classical field theory ruled by non-linear partial differential equations. A number of supplementary conditions (more frequently called gauge conditions) have also…

广义相对论与量子宇宙学 · 物理学 2016-11-23 Giampiero Esposito , Cosimo Stornaiolo

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

广义相对论与量子宇宙学 · 物理学 2010-10-27 M. Novello

We analyze the construction of conformal theories of gravity in the realm of teleparallel theories. We first present a family of conformal theories which are quadratic in the torsion tensor and are constructed out of the tetrad field and of…

广义相对论与量子宇宙学 · 物理学 2012-01-19 J. W. Maluf , F. F. Faria

In this paper we investigate dual formulations for massive tensor fields. Usual procedure for construction of such dual formulations based on the use of first order parent Lagrangians in many cases turns out to be ambiguous. We propose to…

高能物理 - 理论 · 物理学 2009-11-11 Yu. M. Zinoviev

We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standard Einstein-Hilbert action in the commutative limit. We also…

高能物理 - 理论 · 物理学 2007-05-23 Ivan Avramidi

The multiplicative Lagrangian and Hamiltonian introduce an additional parameter that, despite its variation, results in identical equations of motion as those derived from the standard Lagrangian. This intriguing property becomes even more…

广义相对论与量子宇宙学 · 物理学 2025-07-01 Kittikun Surawuttinack , Suppanat Supanyo , Sikarin Yoo-Kong

Modifications of General Relativity usually include extra dynamical degrees of freedom, which to date remain undetected. Here we explore the possibility of modifying Einstein's theory by adding solely nondynamical fields. With the minimal…

广义相对论与量子宇宙学 · 物理学 2014-01-07 Paolo Pani , Thomas P. Sotiriou , Daniele Vernieri

General relativity and quantum field theory are the cornerstones of our understanding of physical processes, from subatomic to cosmic scales. While both theories work remarkably well in their tested domains, they show minimal overlap.…

高能物理 - 理论 · 物理学 2025-02-06 Susobhan Mandal , S. Shankaranarayanan

We consider perturbations of a static and spherically symmetric background endowed with a metric tensor and a scalar field in the framework of the effective field theory of modified gravity. We employ the previously developed 2+1+1…

高能物理 - 理论 · 物理学 2014-12-09 Ryotaro Kase , László Árpád Gergely , Shinji Tsujikawa

A theory of gravity with torsion is examined in which the torsion tensor is constructed from the exterior derivative of an antisymmetric rank two potential plus the dual of the gradient of a scalar field. Field equations for the theory are…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Charro Gruver , Richard Hammond , P. F. Kelly

We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the…

高能物理 - 理论 · 物理学 2019-09-04 Euihun Joung , Karapet Mkrtchyan , Gabriel Poghosyan

In the gauge theory of gravity based on the Poincare group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy-momentum) and the spin are treated on an equal footing as the sources of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yuri N. Obukhov

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string…

高能物理 - 理论 · 物理学 2009-11-07 P. de Medeiros , C. Hull

The physical interpretation of cold dark matter perturbations is clarified by associating Bertschinger's Poisson gauge with a Eulerian/observer's frame of reference. We obtain such an association by using a Lagrangian approach to…

宇宙学与河外天体物理 · 物理学 2014-03-27 Cornelius Rampf

Motivated by the discovery of floating orbits and the potential to provide extra constraints on alternative theories, in this paper we derive the self-force equation for a small compact object moving on an accelerated world line in a…

广义相对论与量子宇宙学 · 物理学 2015-11-10 Peter Zimmerman

We establish a general relation between the canonical energy-momentum tensor of Lagrangian dynamics and the tensor that acts as the source of the gravitational field in Einstein's equations, and we show that there is a discrepancy between…

广义相对论与量子宇宙学 · 物理学 2013-03-01 Hans C. Ohanian
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