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We generalize Einstein's Lagrangian in a non-polynomial (in R) way. The usual Lagrangian (linear in R) is the zero $\alpha'$ limit of our theory, where $\alpha'$ is a parameter that is interpreted as the inverse cosmological costant before…

高能物理 - 理论 · 物理学 2008-02-03 C. Gasparakis

We study extreme-mass-ratio systems in theories admitting the Schwarzschild solution and propagating a massive graviton. We show that, in addition to small corrections to the quadrupolar and higher-order modes, a dipolar mode is excited in…

广义相对论与量子宇宙学 · 物理学 2023-11-21 Vitor Cardoso , Francisco Duque , Andrea Maselli , David Pereñiguez

We study all translationally and rotationally invariant local theories involving massless spin 2 and spin 1 particles that mediate long range forces, allowing for general energy relations and violation of boost invariance. Although gauge…

高能物理 - 理论 · 物理学 2017-11-01 Mark P. Hertzberg , McCullen Sandora

We present a theory of gravity based on Einstein's general relativity that is motivated by the paradoxes associated with time in relativistic rotating frames and certain exact solutions of Einstein's equations. We show that we can resolve…

广义相对论与量子宇宙学 · 物理学 2011-06-14 Robert D. Bock

We propose new models of an `affine' theory of gravity in $D$-dimensional space-times with symmetric connections. They are based on ideas of Weyl, Eddington and Einstein and, in particular, on Einstein's proposal to specify the space - time…

高能物理 - 理论 · 物理学 2015-05-18 A. T. Filippov

The Schroedinger- and Klein-Gordon equations are directly derived from classical Lagrangians. The only inputs are given by the discreteness of energy (E=hbar.w) and momentum (p=hbar.k), respectively, as well as the assumed existence of a…

量子物理 · 物理学 2007-05-23 Gerhard Groessing

Spacetimes generated by a lightlike particle source for topologically massive gravity and its limits - Einstein gravity and the pure gravitational Chern-Simons model - are obtained both by solving the field equations and by infinite boosts…

高能物理 - 理论 · 物理学 2010-04-06 S. Deser , A. Steif

We evaluate the quantum gravity partition function that counts the dimension of the Hilbert space of a simply connected spatial region of fixed proper volume in the context of Lovelock gravity, generalizing the results for Einstein gravity…

高能物理 - 理论 · 物理学 2024-02-23 Mengqi Lu , Robert B. Mann

Thermodynamics of local causal horizons have been shown to encode the information necessary to derive the equations governing the gravitational dynamics. We have previously shown that, in the presence of matter, this derivation further…

广义相对论与量子宇宙学 · 物理学 2025-09-23 Ana Alonso-Serrano , Marek Liška

We study the conservative dynamics of spinless compact objects in a general effective theory of gravity which includes a metric and an arbitrary number of scalar fields, through $\mathcal{O}(G^{3})$. Departures from Einstein gravity, which…

高能物理 - 理论 · 物理学 2025-08-14 Jordan Wilson-Gerow

We shall use the variational decomposition technique in order to calculate equations of motion and Noether energy-momentum complex for some classes of non-linear gravitational Lagrangians within the first-order (Palatini) formalism. In…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. Borowiec , M. Francaviglia

Starting with Newton's law of universal gravitation, we generalize it step-by-step to obtain Einstein's geometric theory of gravity. Newton's gravitational potential satisfies the Poisson equation. We relate the potential to a component of…

广义相对论与量子宇宙学 · 物理学 2013-09-20 Donald H. Kobe , Ankit Srivastava

We derive the general solution to the coupled Einstein and Dirac field equations in static and hyperplane-symmetric spacetime of arbitrary dimension including a cosmological constant of either sign. As a result, only a massful Dirac field…

广义相对论与量子宇宙学 · 物理学 2024-10-08 John Schliemann , Tim Sonnleitner

We generalize the $f(R)$ type gravity models by assuming that the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar $R$ and of the matter Lagrangian $L_m$. We obtain the gravitational field equations in the…

广义相对论与量子宇宙学 · 物理学 2011-02-09 Tiberiu Harko , Francisco S. N. Lobo

We classify all the six derivative Lagrangians of gravity, whose traced field equations are of second or third order, in arbitrary dimensions. In the former case, the Lagrangian in dimensions greater than six, reduces to an arbitrary linear…

广义相对论与量子宇宙学 · 物理学 2010-12-28 Julio Oliva , Sourya Ray

We study the space-time geometry generated by coupling a free scalar field with a non-canonical kinetic term to General Relativity in $(2+1)$ dimensions. After identifying a family of scalar Lagrangians that yield exact analytical solutions…

广义相对论与量子宇宙学 · 物理学 2024-06-25 Roberto V. Maluf , Gerardo Mora-Pérez , Gonzalo J. Olmo , Diego Rubiera-Garcia

The role of space-time torsion in general relativity is reviewed in accordance with some recent results on the subject. It is shown that, according to the connection compatibility condition, the usual Riemannian volume element is not…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Alberto Saa

We present an alternative derivation of the gravitational field equations for Lovelock gravity starting from the Newton's law, which is closer in spirit to the thermodynamic description of gravity. As a warm up exercise, we have explicitly…

广义相对论与量子宇宙学 · 物理学 2018-04-23 Sumanta Chakraborty

Five-vectors theory of gravity is proposed, which admits an arbitrary choice of the energy density reference level. This theory is formulated as the constraint theory, where the Lagrange multipliers turn out to be restricted to some class…

广义相对论与量子宇宙学 · 物理学 2019-04-02 S. L. Cherkas , V. L. Kalashnikov

A modified Einstein-Gauss-Bonnet gravity in four dimensions where the quadratic Gauss-Bonnet term is coupled to a scalar field is considered. The field equations of the model are obtained by variational methods by making use of the…

广义相对论与量子宇宙学 · 物理学 2016-08-30 Hatice Özer , Ahmet Baykal , Özgür Delice