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We compute the entropies for general curvature squared gravities in arbitrary dimensions using the conserved charge and Virasoro algebra from surface term. We introduce an auxiliary tensor field in order to obtain the boundary action which…

High Energy Physics - Theory · Physics 2013-04-29 Kyosuke Hirochi

In the braneworld scenario, the four dimensional effective Einstein equation has extra terms which arise from the embedding of the 3-brane in the bulk. We show that in this modified theory of gravity, it is possible to model observations of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Supratik Pal , Somnath Bharadwaj , Sayan Kar

We present the covariant gravitational equations to describe a four-dimensional brane world in the case with the Gauss-Bonnet term in a bulk spacetime, assuming that gravity is confined on the $Z_2$ symmetric brane. It contains some…

High Energy Physics - Theory · Physics 2009-11-10 Kei-ichi Maeda , Takashi Torii

We construct models with the Gauss-Bonnet term multiplied to a function of the scalar field leading to inflationary scenario. The consideration is related with the slow-roll approximation. The cosmological attractor approach gives the…

General Relativity and Quantum Cosmology · Physics 2020-07-29 E. O. Pozdeeva

There is a general scaling argument that shows that the entropy of a small black hole, representing a half-BPS excitation of an elementary heterotic string in any dimension, agrees with the statistical entropy up to an overall numerical…

High Energy Physics - Theory · Physics 2009-11-11 Ashoke Sen

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 perform a detailed analysis of one-loop corrections to the self-energy of the (off-shell) gauge bosons in six-dimensional N=1 supersymmetric gauge theories on orbifolds. After discussing the Abelian case in the standard Feynman diagram…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dumitru M. Ghilencea , Hyun Min Lee , Kai Schmidt-Hoberg

Motivated by holography, we explore higher derivative corrections to four-dimensional Anti-de Sitter (AdS) gravity. We point out that in such a theory the variational problem is generically not well-posed given only a boundary condition for…

High Energy Physics - Theory · Physics 2015-06-12 Jelena Smolic , Marika Taylor

We propose a general formula for calculating the entanglement entropy in theories dual to higher derivative gravity where the Lagrangian is a contraction of Riemann tensors. Our formula consists of Wald's formula for the black hole entropy,…

High Energy Physics - Theory · Physics 2014-01-16 Xi Dong

The slow-roll inflation for a single scalar field that couples to the Gauss-Bonnet (GB) term represents an important higher-order curvature correction inspired by string theory. With the arrival of the era of precision cosmology, it is…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Qiang Wu , Tao Zhu , Anzhong Wang

We construct an approximate static gravitational solution of the Einstein equations, with negative cosmological constant, describing a test black string stretching from the boundary of the Schwarzschild-AdS_5 black brane toward the horizon.…

High Energy Physics - Theory · Physics 2012-11-20 Nidal Haddad

The Gauss - Bonnet invariant is one of the most promising candidates for a quadratic curvature correction to the Einstein action in expansions of supersymmetric string theory. We study the evaporation of such Schwarzschild - Gauss - Bonnet…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Barrau , J. Grain , S. O. Alexeyev

In this paper, we establish pointwise boundary ${{C}^{1,\alpha}}$ estimates for viscosity solutions of some degenerate fully nonlinear elliptic equations on ${C^{1,\alpha}}$ domains. Instead of straightening out the boundary, we utilize the…

Analysis of PDEs · Mathematics 2023-05-23 Xuemei Li , Dongsheng Li

We obtain analytical approximate black hole solutions for higher derivative gravity in the presence of Maxwell electromagnetic source. We construct near horizon and asymptotic solutions and then use these to obtain an approximate analytic…

General Relativity and Quantum Cosmology · Physics 2020-12-16 S. N. Sajadi , Robert B. Mann , N. Riazi , Saeed Fakhry

The leading $(\alpha')^3$-correction to the gravitational low-energy effective action of closed (type II) superstring theory in four-spacetime dimensions defines the Einstein-Grisaru-Zanon gravity action that is applied for a calculation of…

High Energy Physics - Theory · Physics 2024-06-24 Ruben Campos Delgado , Sergei V. Ketov

After dimensional reduction to three dimensions, the lowest order effective actions for pure gravity, M-theory and the Bosonic string admit an enhanced symmetry group. In this paper we initiate study of how this enhancement is affected by…

High Energy Physics - Theory · Physics 2008-11-26 Neil Lambert , Peter West

It is now well understood that the coefficient of shear viscosity of boundary fluid can be obtained from the horizon values of the effective coupling of transverse graviton in bulk spacetime. In this paper we observe that to find the shear…

High Energy Physics - Theory · Physics 2011-01-17 Nabamita Banerjee , Suvankar Dutta

Higher-derivative modifications of general relativity are generically expected from effective field theory approaches to quantum gravity, and they arise naturally in Lorentz-violating theories such as Einstein-Ether gravity. In this work,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Sayantan Choudhury , Md Khalid Hossain , Gulnur Bauyrzhan , Koblandy Yerzhanov

For the kernel estimator of the quantile density function (the derivative of the quantile function), I show how to perform the boundary bias correction, establish the rate of strong uniform consistency of the bias-corrected estimator, and…

Econometrics · Economics 2022-07-20 Grigory Franguridi

In this paper, we have constructed Boson star (BS) solutions in four dimensional scalar-Gauss-Bonnet (sGB) theory. In order to have non-trivial effect from Gauss-Bonnet term, we invoked non-minimal coupling between a complex scalar field…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Vishal Baibhav , Debaprasad Maity
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