scholarly journals O(n, n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in α′

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Tomás Ortín
Keyword(s):  
Black Holes ◽  
Effective Action ◽  
Invariant Form ◽  
First Order ◽  
Entropy Formula ◽  
Reduced Action

Abstract We perform the toroidal compactification of the full Bergshoeff-de Roo version of the Heterotic Superstring effective action to first order in α′. The dimensionally-reduced action is given in a manifestly-O(n, n)-invariant form which we use to derive a manifestly-O(n, n)-invariant Wald entropy formula which we then use to compute the entropy of α′-corrected, 4-dimensional, 4-charge, static, extremal, supersymmetric black holes.

scholarly journals T duality and Wald entropy formula in the Heterotic Superstring effective action at first-order in α′

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Zachary Elgood ◽  
Tomás Ortín
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Effective Action ◽  
Extremal Black Hole ◽  
Slope Parameter ◽  
First Order ◽  
Duality Transformations ◽  
Entropy Formula ◽  
Reduced Action ◽  
Black Hole Solutions

Abstract We consider the compactification on a circle of the Heterotic Superstring effective action to first order in the Regge slope parameter α′ and re-derive the α′-corrected Buscher rules first found in ref. [42], proving the T duality invariance of the dimensionally-reduced action to that order in α′. We use Iyer and Wald’s prescription to derive an entropy formula that can be applied to black-hole solutions which can be obtained by a single non-trivial compactification on a circle and discuss its invariance under the α′-corrected T duality transformations. This formula has been successfully applied to α′-corrected 4-dimensional non-extremal Reissner-Nordström black holes in ref. [21] and we apply it here to a heterotic version of the Strominger-Vafa 5-dimensional extremal black hole.

scholarly journals The first law and Wald entropy formula of heterotic stringy black holes at first order in α′

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Zachary Elgood ◽  
Tomás Ortín ◽  
David Pereñíguez
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Effective Action ◽  
Differential Forms ◽  
Momentum Maps ◽  
First Order ◽  
Entropy Formula ◽  
Lie Derivatives

Abstract We derive the first law of black hole mechanics in the context of the Heterotic Superstring effective action to first order in α′ using Wald’s formalism. We carefully take into account all the symmetries of the theory and, as a result, we obtain a manifestly gauge- and Lorentz-invariant entropy formula in which all the terms can be computed explicitly. An entropy formula with these properties allows unambiguous calculations of macroscopic black-hole entropies to first order in α′ that can be reliably used in a comparison with the microscopic ones. Such a formula was still lacking in the literature.In the proof we use momentum maps to define covariant variations and Lie derivatives and restricted generalized zeroth laws which state the closedness of certain differential forms on the bifurcation sphere and imply the constancy of the associated potentials on it.We study the relation between our entropy formula and other formulae that have been used in the literature.

scholarly journals Erratum to: T duality and Wald entropy formula in the Heterotic Superstring effective action at first-order in α′

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Zachary Elgood ◽  
Tomás Ortín
Keyword(s):  
Effective Action ◽  
First Order ◽  
Entropy Formula

A correction to this paper has been published: https://doi.org/10.1007/JHEP10(2020)097

scholarly journals Second-order perturbations of Kerr black holes: Formalism and reconstruction of the first-order metric

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Nicholas Loutrel ◽  
Justin L. Ripley ◽  
Elena Giorgi ◽  
Frans Pretorius
Keyword(s):  
Black Holes ◽  
Second Order ◽  
First Order ◽  
Kerr Black Holes

scholarly journals GRAVITY ON NONCOMMUTATIVE D-BRANES

2003 ◽  
Vol 18 (07) ◽  
pp. 1051-1066 ◽  
Author(s):  
F. ARDALAN ◽  
H. ARFAEI ◽  
M. R. GAROUSI ◽  
A. GHODSI
Keyword(s):  
String Theory ◽  
Effective Action ◽  
Low Energy ◽  
Bosonic String ◽  
First Order ◽  
Energy Scattering ◽  
Bosonic String Theory ◽  
Brane Action

The effective action for the low energy scattering of two gravitons with a D-brane in the presence of a constant antisymmetric B field in bosonic string theory is calculated and the modification to the standard D-brane action to first order in α′ is obtained.

scholarly journals Black holes, first-order flow equations and geodesics on symmetric spaces

2009 ◽  
Vol 57 (5-7) ◽  
pp. 659-665
Author(s):  
J. Perz ◽  
P. Smyth ◽  
T. Van Riet ◽  
B. Vercnocke
Keyword(s):  
Black Holes ◽  
Symmetric Spaces ◽  
Order Flow ◽  
Flow Equations ◽  
First Order

Non-supersymmetric Extremal Black Holes: First-Order Flows and Stabilisation Equations

2013 ◽  
pp. 221-231
Author(s):  
Pietro Galli ◽  
Kevin Goldstein ◽  
Stefanos Katmadas ◽  
Jan Perz
Keyword(s):  
Black Holes ◽  
First Order ◽  
Extremal Black Holes

scholarly journals First order description of black holes in moduli space

2007 ◽  
Vol 2007 (11) ◽  
pp. 032-032 ◽  
Author(s):  
Laura Andrianopoli ◽  
Riccardo D'Auria ◽  
Emanuele Orazi ◽  
Mario Trigiante
Keyword(s):  
Black Holes ◽  
Moduli Space ◽  
First Order

scholarly journals A semi-classical estimate for the q-parameter and decay time with Tsallis entropy of black holes in quantum geometry

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
K. Mejrhit ◽  
R. Hajji
Keyword(s):  
Black Holes ◽  
Loop Quantum Gravity ◽  
Cosmic Ray ◽  
High Energy ◽  
Quantum Geometry ◽  
De Sitter ◽  
Boltzmann Entropy ◽  
Entropy Formula ◽  
Approximate Relationship ◽  
Classical Estimate

AbstractIn this letter, using the non-extensive entropy of Tsallis, we study some properties of the Schwarzschild black holes (BHs), based on the loop quantum gravity (LQG), some novel characteristics and results of the Schwarzschild BH can be obtained in Mejrhit and Ennadifi (Phys Lett B 794:45–49, 2019). Here we find that these findings are strikingly identical to ones obtained by Hawking and Page in anti-de Sitter space within the original of the Boltzmann entropy formula. By using the semi-classical estimate analysis on the energy at this minimum $$M_{min}$$ M min , an approximate relationship between the q and $$\gamma $$ γ parameters of BHs can be found, ($$q\approx \frac{\sqrt{3}\gamma }{\pi \ln 2}+1$$ q ≈ 3 γ π ln 2 + 1 ), which is remarkable approaching to q-parameters of cosmic ray spectra and quarks coalescing to hadrons in high energy.

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