Studying New Universal Relations in the Black Holes Thermodynamics

Swampland conjectures in hybrid metric-Palatini gravity

“…Then, we compare the compatibility or incompatibility of it with the latest observable data, such as Planck [92], by applying Swampland conjectures to some plots, r s − n s plan, C 1,2 − n s and C 1,2 − r s . Recently, Swampland Conjectures have been particularly important in effective lowenergy physical hypotheses [46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][63][64][65][66][67][68][69][70][71][72]. Their applications to inflationary cosmology, black hole physics, and even dark matter and dark energy have been widely studied [63][64][65][66][67][68][69][70][71][72].…”

“…Recently, Swampland Conjectures have been particularly important in effective lowenergy physical hypotheses [46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][63][64][65][66][67][68][69][70][71][72]. Their applications to inflationary cosmology, black hole physics, and even dark matter and dark energy have been widely studied [63][64][65][66][67][68][69][70][71][72]. In the literature, there are different gravitational samples along with the swampland program, and a series of them, such as the slow-roll single-field inflation mechanism, show inconsistencies with the second condition of the dS Swampland Conjecture [46][47][48][49][50][51][52][53][54][55]…”

“…Their applications to inflationary cosmology, black hole physics, and even dark matter and dark energy have been widely studied [63][64][65][66][67][68][69][70][71][72]. In the literature, there are different gravitational samples along with the swampland program, and a series of them, such as the slow-roll single-field inflation mechanism, show inconsistencies with the second condition of the dS Swampland Conjecture [46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][63][64][65][66][67][68][69][70][71][72]. However, several approaches have led to compatibility with Swampland Conjecture by modifying the original systems and studying the inflation on Brane and from the Gauss-Bonnet parameter monitoring [60,62,98].…”

“…In the Swampland program, we face the Swampland and the landscape, as the set of theories compatible with quantum gravity. For more information, see Ref.s [46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][63][64][65][66][67][68][69][70][71][72].…”

Weak Gravity Conjecture, Black Branes and Violations of Universal Thermodynamic Relation

“…The universal thermodynamic relation has since been explored extensively and various implications of these relations are studied under different conditions [8][9][10][11][12][13][14][15]. For instance, the universal relation has been studied for a Kerr-Newman-AdS black hole surrounded by quintessence and the cloud of string [16] and AdS black holes surrounded by perfect fluid dark matter [17]. Generally, this universal thermodynamic relation has always been valid for black holes with different characteristics and conditions.…”