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We hereby present a class of multidimensional higher derivative theories of gravity that realizes an ultraviolet completion of Einstein general relativity. This class is marked by a "non-polynomal" entire function (form factor), which…

High Energy Physics - Theory · Physics 2013-05-30 Leonardo Modesto

Motivated by the two-dimensional massive gravity description of $T\overline{T}$ deformations, we propose a direct generalization in $d$ dimensions. Our methodology indicates that all terms up to order $d$ are present in the deformation. In…

High Energy Physics - Theory · Physics 2024-09-26 Evangelos Tsolakidis

We propose two new versions of ghost-free generalized $F(R)$ gravity with Lagrange multiplier constraint. The first version of such theory for a particular degenerate choice of the Lagrange multiplier, corresponds to mimetic $F(R)$ gravity.…

General Relativity and Quantum Cosmology · Physics 2017-11-22 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

Galactic rotation curves and lack of direct observations of Dark Matter may indicate that General Relativity is not valid (on galactic scale) and should be replaced with another theory. There is the only variant of Absolute Parallelism…

Astrophysics · Physics 2009-04-16 I. L. Zhogin

The question of building a local diff-invariant effective gravitational action for the trace anomaly is reconsidered. General Relativity (GR) combined with the existing action for the trace anomaly is an inconsistent low energy effective…

High Energy Physics - Theory · Physics 2023-07-19 Gregory Gabadadze

The increasing precision of cosmological data provides us with an opportunity to test general relativity (GR) on the largest accessible scales. Parameterizing modified gravity models facilitates the systematic testing of the predictions of…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-26 Ali Narimani , Douglas Scott

We study mimetic $F(R)$ gravity with potential and Lagrange multiplier constraint. In the context of these theories, we introduce a reconstruction technique which enables us to realize arbitrary cosmologies, given the Hubble rate and an…

General Relativity and Quantum Cosmology · Physics 2016-02-17 S. D. Odintsov , V. K. Oikonomou

We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying…

High Energy Physics - Theory · Physics 2015-02-23 Gerardo Aldazabal , Mariana Graña , Diego Marqués , José A. Rosabal

The higher order generalisation of the clockwork mechanism to gravitational interactions provides a means to generate an exponentially suppressed coupling to matter from a fundamental theory of multiple interacting gravitons, without…

High Energy Physics - Theory · Physics 2023-08-09 Kieran Wood , Paul M. Saffin , Anastasios Avgoustidis

Pushing forward the similitudes between the gravitational collapse and the expansion of the universe (in the reversed sense of time), it should be expected that, during the collapse, eventually, a spacetime domain would be reached where…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

We investigate whether the extra scalar degree of freedom that arises in the second connection class of scalar-tensor non-metricity gravity can accurately replicate and potentially enrich the cosmic expansion history. Focusing on a…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Ghulam Murtaza , Avik De , Andronikos Paliathanasis , Tee-How Loo

We study the cosmological dynamics and predictions in the theory of warped massive gravity. This set-up postulates a five-dimensional ghost-free massive graviton with a brane-localized four-dimensional massive gravity potential, and has the…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Sebastian Garcia-Saenz , Yuxiang Wei , Xue Zhou

We consider multidimensional gravity with a Lagrangian containing the Ricci tensor squared and the Kretschmann invariant. In a Kaluza-Klein approach with a single compact extra space of arbitrary dimension, with the aid of a slow-change…

General Relativity and Quantum Cosmology · Physics 2009-11-13 K. A. Bronnikov , S. A. Kononogov , V. N. Melnikov , S. G. Rubin

Einstein-Strauss Hermitian gravity was recently formulated as a gauge theory where the tangent group is taken to be the pseudo-unitary group instead of the orthogonal group. A Higgs mechanism for massive gravity was also formulated. We…

High Energy Physics - Theory · Physics 2012-11-26 Ali H. Chamseddine , Viatcheslav Mukhanov

We hereby introduce and extensively study a class of non-polynomial higher derivative theories of gravity that realize a ultraviolet (UV) completion of Einstein general relativity. These theories are unitary (ghost free) and at most only…

High Energy Physics - Theory · Physics 2018-09-03 Leonardo Modesto , Leslaw Rachwal

In this paper we study eleven-dimensional supergravity in its most general form. This is done by implementing manifest supersymmetry (and Lorentz invariance) through the use of the geometric (torsion and curvature) superspace Bianchi…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall , Ulf Gran , Bengt E. W. Nilsson , Dimitrios Tsimpis

When tetrad (metric) fields are not invertible, the standard canonical formulation of gravity cannot be adopted as it is. Here we develop a Hamiltonian theory of gravity for non-invertible tetrad. In contrast to Einstein gravity, this phase…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Sandipan Sengupta

We present a bi-metric theory of gravity containing a length scale of galactic size. For distances less than this scale the theory satisfies the standard tests of General Relativity. For distances greater than this scale the theory yields…

Astrophysics · Physics 2009-10-31 I. T. Drummond

The idea that quantum gravity can be realized at the TeV scale is extremely attractive to theorists and experimentalists alike. This proposal leads to extra spacial dimensions large compared to the electroweak scale. Here we give a very…

High Energy Physics - Theory · Physics 2012-01-25 V H Satheesh Kumar , P K Suresh

We have constructed a nonlinear multi-graviton theory. An application of this theory to cosmology is discussed. We found that scale factors in a solution for this theory repeat acceleration and deceleration.

General Relativity and Quantum Cosmology · Physics 2009-02-10 Teruki Hanada , Kazuhiko Shinoda , Kiyoshi Shiraishi