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We describe our explicit Lorentz-invariant solution of the Einstein and null geodesic equations for the deflection experiment of 2002 September 8 when a massive moving body, Jupiter, passed within 3.7' of a line-of-sight to a distant…

Astrophysics · Physics 2007-05-23 Sergei M. Kopeikin , Edward B. Fomalont

The effect of the noise induced by gravitons in the case of a freely falling particle from the viewpoint of an external observer has been recently calculated in \href{https://link.aps.org/doi/10.1103/PhysRevD.107.066024}{Phys. Rev. D 107…

High Energy Physics - Theory · Physics 2024-02-06 Soham Sen , Sunandan Gangopadhyay

In general relativity, gravitational waves propagate at the speed of light, and so gravitons are massless. The masslessness can be traced to symmetry under diffeomorphisms. However, another elegant possibility exists: masslessness can…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Alan Kostelecky , Robertus Potting

We study the short distance behaviour of euclidean quantum gravity in the light of Weinberg's asymptotic safety scenario. Implications of a non-trivial ultraviolet fixed point are reviewed. Based on an optimised renormalisation group, we…

High Energy Physics - Theory · Physics 2009-11-11 Daniel F. Litim

Einstein gravity with extra dimensions or alternative gravity theories might suggest that the gravity propagation speed can be different from the light speed. Such a difference may play a vital role in the primordial universe. In recent,…

Astrophysics · Physics 2007-05-23 Hideki Asada

The non-perturbative renormalisation of quantum gravity is investigated allowing for the metric to be reparameterised along the RG flow, such that only the essential couplings constants are renormalised. This allows us to identify a…

High Energy Physics - Theory · Physics 2021-08-11 Alessio Baldazzi , Kevin Falls

In this paper, we study the equation of state and its properties of the perfect fluid in the $D$-dimensional FRW universe under Einstein gravity, Gauss-Bonnet gravity and Lovelock gravity. In Einstein gravity, we get the equation of state…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Shi-Bei Kong , Ying Wang , Yu-Ke Wang

The on shell equivalence of first order and second order formalisms for the Einstein-Hilbert action does not hold for those actions quadratic in curvature. It would seem that by considering the connection and the metric as independent…

High Energy Physics - Theory · Physics 2017-02-15 Enrique Alvarez , Sergio Gonzalez-Martin

We perform a space-time analysis of the D>4 quadratic curvature Lanczos-Lovelock (LL) model, exhibiting its dependence on intrinsic/extrinsic curvatures, lapse and shifts. As expected from general covariance, the field equations include D…

General Relativity and Quantum Cosmology · Physics 2012-03-02 S. Deser , J. Franklin

The Lense--Thirring spacetime describes a 4-dimensional slowly rotating approximate solution of vacuum Einstein equations valid to a linear order in rotation parameter. It is fully characterized by a single metric function of the…

High Energy Physics - Theory · Physics 2022-04-27 Finnian Gray , Robie A. Hennigar , David Kubiznak , Robert B. Mann , Manu Srivastava

We study the effect of gravity on stability of an electron living on the 3-brane. Our recently proposed fermion self-energy model is augmented by the energy of self-gravitating electron. This energy is evaluated using the gravitational…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Eugen Simanek

We obtain an exact slowly rotating Einstein-bumblebee black hole solution by solving the corresponding $rr$ and $t\phi$ components of the gravitational field equations in both cases: A, $b_\mu=(0,b(r),0,0)$; B,…

General Relativity and Quantum Cosmology · Physics 2021-02-19 Chikun Ding , Xiongwen Chen

Quantum gravity corrections to accretion onto a Schwarzschild black hole are considered in the context of asymptotically safe scenario. The possible positions of the critical points are discussed and the general conditions for critical…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Rong-Jia Yang

We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In $D\geq 4$ spacetime dimensions, these consistency conditions mandate positive coefficients for certain…

High Energy Physics - Theory · Physics 2016-04-06 Brando Bellazzini , Clifford Cheung , Grant N. Remmen

We study the condition that the theory is unitary and stable in three-dimensional gravity with most general quadratic curvature, Lorentz-Chern-Simons and cosmological terms. We provide the complete classification of the unitary theories…

High Energy Physics - Theory · Physics 2015-05-30 Nobuyoshi Ohta

In this paper, we first generalize the formulation of entropic gravity to (n+1)-dimensional spacetime. Then, we propose an entropic origin for Gauss-Bonnet gravity and more general Lovelock gravity in arbitrary dimensions. As a result, we…

General Physics · Physics 2013-04-16 A. Sheykhi , H. Moradpour , N. Riazi

In this paper we study the perturbation theory of the recently proposed Regularized Lovelock Gravity, on the curved FLRW space-time. We provide the first order perturbation equations both in the scalar and tensor sector in the presence of…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Alessandro Casalino , Lorenzo Sebastiani

We perform the Hamiltonian constraint analysis for a wide class of gravity theories that are invariant under spatial diffeomorphism. With very general setup, we show that different from the general relativity, the primary and secondary…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Xian Gao

A one-parameter deformation of Einstein?Hilbert gravity with an inverse Riemann curvature term is derived as the classical limit of quantum gravity compatible with an accelerating universe. This result is based on the investigation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Frederic P. Schuller , Mattias N. R. Wohlfarth

This paper investigates a new black hole solution within the framework of bumblebee gravity, incorporating non-commutative corrections parameterized by $\Theta$ and implemented through the Moyal twist $\partial_r \wedge \partial_\theta$.…

General Relativity and Quantum Cosmology · Physics 2026-04-17 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , Yuxuan Shi , Francisco S. N. Lobo