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Spherical gravitational wave is strictly forbidden in vacuum space in frame of general relativity by the Birkhoff theorem. We prove that spherical gravitational waves do exist in non-linear massive gravity, and find the exact solution.…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Hongsheng Zhang , Yang Huang

We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

广义相对论与量子宇宙学 · 物理学 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

We develop a fully gauge invariant analysis of gravitational wave polarizations in metric f(R) gravity with a particular focus on the modified Starobinsky model, whose constant curvature solution provides a natural deSitter background for…

广义相对论与量子宇宙学 · 物理学 2026-01-06 Ramesh Radhakrishnan , David McNutt , Delaram Mirfendereski , Alejandro Pinero , Eric Davis , William Julius , Gerald Cleaver

Solutions to gravity with quadratic Lagrangians are found for the simple case where the only nonconstant metric component is the lapse $N$ and the Riemann tensor takes the form $R^{t}_{.itj}=-k_{i}k_{j}, i,j=1,2,3$; thus these solutions…

广义相对论与量子宇宙学 · 物理学 2011-04-04 Mark D. Roberts

A non-singular, static spherically symmetric solution to the nonsymmetric gravitational and electromagnetic theory field equations is derived, which depends on the four parameters m, l^2, Q and s, where m is the mass, Q is the electric…

广义相对论与量子宇宙学 · 物理学 2008-11-26 N. J. Cornish , J. W. Moffat

In this chapter we review the recent developments of realizing $R^2$-like inflation in the framework of a most general UV nonlocal extension of Einstein's general theory of relativity (GR). It is a well-motivated robust approach towards…

高能物理 - 理论 · 物理学 2024-09-19 Alexey S. Koshelev , K. Sravan Kumar , Alexei A. Starobinsky

Every spacetime that is asymptotically flat near null infinity can be conformally mapped via a spatial inversion onto the geometry around an extremal, non-rotating and non-expanding horizon. We set up a dictionary for this geometric…

高能物理 - 理论 · 物理学 2026-02-24 Shreyansh Agrawal , Panagiotis Charalambous , Laura Donnay

A theory of gravitation is constructed in which all homogeneous and isotropic solutions are nonsingular, and in which all curvature invariants are bounded. All solutions for which curvature invariants approach their limiting values approach…

广义相对论与量子宇宙学 · 物理学 2009-10-22 R. Brandenberger , V. Mukhanov , A. Sornborger

We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity…

高能物理 - 理论 · 物理学 2015-05-27 Philip D. Mannheim

We study gravitational plane impulsive waves and electromagnetic shock waves in a scalar-tensor theory of gravity of the Brans-Dicke type. In vacuum, we present an exact solution of Brans-Dicke's field equations and give an example in which…

广义相对论与量子宇宙学 · 物理学 2009-10-30 G. F. Bressange

Gravitational waves are investigated in Intrinsic Time Geometrodynamics. This theory has a non-vanishing physical Hamiltonian generating intrinsic time development in our expanding universe, and four-covariance is explicitly broken by…

广义相对论与量子宇宙学 · 物理学 2018-09-11 Eyo Eyo Ita , Chopin Soo , Hoi-Lai Yu

Gravitational waves (GWs) induced by scalar curvature fluctuations are an important source of the cosmological GW background and a crucial counterpart of the primordial black hole scenario. However, doubts have been cast on the…

广义相对论与量子宇宙学 · 物理学 2021-04-14 Guillem Domènech , Misao Sasaki

Nonlocal gravity is a promising super-renormalizable or finite quantum gravity theory consistent with unitarity. In this paper, we focus on the classical equations of motion and explicitly show that a particular subclass of G\"{o}del-type…

广义相对论与量子宇宙学 · 物理学 2026-05-05 Zhe Zhao , Leonardo Modesto , Cosimo Bambi

We show that a class of finite quantum non-local gravitational theories is conformally invariant at classical as well as at quantum level. This is actually a range of conformal anomaly-free theories in the spontaneously broken phase of the…

高能物理 - 理论 · 物理学 2018-09-03 Leonardo Modesto , Leslaw Rachwal

General Relativity (GR) exists in different formulations. They are equivalent in pure gravity but generically lead to distinct predictions once matter is included. After a brief overview of various versions of GR, we focus on metric-affine…

高能物理 - 理论 · 物理学 2023-11-09 Claire Rigouzzo , Sebastian Zell

We present a comprehensive discussion of gravitational charges and radiation in four-dimensional asymptotically locally de Sitter (AldS) spacetimes. Such spacetimes have compact spatial sections and possess spacelike past and future…

高能物理 - 理论 · 物理学 2025-12-17 Aaron Poole , Kostas Skenderis , Marika Taylor

We present a completely integrable deformation of the CGHS dilaton gravity model in two dimensions. The solution is a singularity free black hole that at large distances asymptoticaly joins to the CGHS solution.

广义相对论与量子宇宙学 · 物理学 2009-10-31 Aleksandar Bogojevic , Dejan Stojkovic

The recent discovery of gravitational waves marks the culmination of a sequence of successful tests of the general theory of relativity (GR) since its formulation in 1915. Yet these tests remain confined to the scale of stellar systems or…

宇宙学与河外天体物理 · 物理学 2019-01-10 Jian-hua He , Luigi Guzzo , Baojiu Li , Carlton M. Baugh

We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant $c \geqslant 0$. Our first main result builds on previous results by Yang and establishes the existence of solutions to the…

微分几何 · 数学 2021-01-25 Mario Garcia-Fernandez , Vamsi Pritham Pingali , Chengjian Yao

We provide a rigorous proof for the existence of homogeneous, isotropic and globally singularity-free cosmological solutions in Einstein-dilaton-Gauss-Bonnet (EdGB) gravity with exponential coupling. While numerical studies suggested such…

偏微分方程分析 · 数学 2025-12-02 Chihang He , Chao Liu